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Quadratic functions activity?
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Quadratic functions activity?
In this activity, students work through a series of scaffolded quadratic graphing challenges to develop their proficiency solving quadratic equations by various methods. Start by introducing students to the standard form equation of a quadratic function: y = ax^2 + bx + c. Quadratic Functions range, x-intercepts, minimum or maximum, parabola. Quadratic Functions Anatomy (3) Activity Transforming Graphs of Quadratic Functions (1) Activity. Doing quadratic word problems is a great way to reinforce the algebra behind quadratic equations. Optional word wall to use as an accommodation for students with special needs. Students will represent each bounce with a quadratic function of the form y = a (x - h) 2 + k. A quadratic function can be in different forms: standard form, vertex form, and intercept form. ©W 42 Y01Z20 2K Guht XaP uS Ho efJtSwbaFrmeI 4L dL 8Cb. The unit includes 10 lessons which are presented to students using two di. Etymology. Graphing Quadratic Functions in Vertex Form Log InorSign Up. This topic covers: - Solving quadratic equations - Graphing quadratic functions - Features of quadratic functions - Quadratic equations/functions word problems - Systems of quadratic equations - Quadratic inequalities Discover how changing coefficients changes the shape of a curve. 1) What are the zeros of the function? Write the smaller x first, and the larger x second. 10 WORKED EXAMPLE - Finding Horizontal Intercepts of a Quadratic Function. 2) to visualize quadratic functions, demonstrate the properties and Algebra 1 Quadratics Unit. Graphing Quadratics - PhET Interactive Simulations This action is not available. 5 : Quadratic Equations - Part I. geometric meanings of quadratic functions, as summarized in This is in line with the section 2 TPACK framework (Coz, 2008). Once they have discussed this, they. Quadratic Functions. In this activity, students work through a series of scaffolded quadratic graphing challenges to develop their proficiency solving quadratic equations by various methods. Often, we introduce quadratics using a football or basketball toss. What happens when you move a? Put a=1 and then move b around. In Desmos, enter q(x) =ax2 +bx+c q ( x) = a x 2 + b x + c; you will be prompted to add sliders for a a, b b, and c c Then begin exploring with the sliders and respond to the following questions Describe how changing the values of a a impacts the graph of q q These use the same thought process as factoring quadratic equations 11. U Worksheet by Kuta Software LLC Choose if the equations produced should include algebraic fractions. They can also use the zero command after graphing an equation to determine the solutions. negative, there are 2 complex solutions. Quiz yourself with questions and answers for Quadratic Functions Quiz, so you can be ready for test day. Quadratic Functions and Parabolas in the Real Worldbe/He42k1xRpbQ. You can remind yourself how to do this with this video. alf of the graph is a reflection of the other half aph, the equation of the axis of symmetry is x = 1. Unit 2 Quadratics: Multiplying & factoring. Select three ordered pairs from the table. A quadratic function is a function that can be written in the form f(x) a(x h)2 = − + k, where a ≠ 0. Write your answers in decimal form, rounded to the nearest tenth, if necessary. The green line represents an exponential. Lesson Plan - editable Word. k v bM na Odze I tw 9i Ct4hA lIvn gfAiDnWiIt weT 6A AlGg6e BbZr Uat i2 n. Graphing Quadratic Functions Log InorSign Up. P m 7A 0lVl3 QrmiDgnhet usn nr0eXsXeirSv 0egdy. Graphing Quadratics Spring 2021 • Activity Builder by Desmos Classroom Students will be given a location on a parabola and need to match up the correct vocabulary words. Solve quadratic equations by factoring and be able to explain why this process is valid. 5 • Graph quadratic functions. Graphing linear inequalities. After solving all of the problems they will be able to color the picture! Vertex form. Solving quadratic equations by: 1. Then simplify the function into standard form. Solving equations with the quadratic formula Explore our printable quadratic equation worksheets and practice writing quadratic equations in the standard form, and solving them using various methods. We'll explore how these functions and the parabolas they produce can be used to solve real-world problems. Factoring Quadratics Practice Activity (When a = 1) I want to share a factoring quadratics practice activity I created for my Algebra 2 students. w U RApl Olm sr miTgeh KtIs O yrhe 7swelr YvRejdC. Sleep is critical to your health and well-being. Sleep is a complex biological pro. Choose … Quadratic functions play a vital role in algebra, particularly when dealing with problem-solving and graphing. This activity comes after extensive work with graphing quadratics in factored, standard and vertex form. I developed this activity so students could engage with it during remote learning to learn about the characteristics of quadratics and parabolas. For problems 1 - 7 solve the quadratic equation by factoring. Activities - PDF and SMART notebook Quadratic Functions. Mainly, they are discussing which lots they think are functions or not functions. The matching card sort can be used multiple times throughout the unit as a quick review of vocabulary. Solving Quadratic Equations by Factoring • Activity Builder by Desmos Classroom. Solving quadratic equations by factoring. The green line represents an exponential. The set includes 2 activities, one is a vocabulary-definition matching card sort of 36 pairs and the other is a crossword puzzle of 33 vocabulary terms. Detailed directions on how to prep and assemble challenges are included. Lisa Jones. Liveworksheets transforms your traditional printable worksheets into self-correcting interactive exercises that the students can do online and send to the teacher. Activity. In this chapter, students will study quadratic equations and various ways of finding their roots. *MATCH THREE* activity for quadratic functions revolves. Pre-Factoring Activity. A Quadratic Function is any function defined by a polynomial whose greatest exponent is two. This book is suitable for both algebra 1 and algebra 2 students Whether business growth, changing population or falling objects, learners get to use mathematics in meaningful ways. Jan 5, 2024 · This collection of 12 free and fun quadratic formula activities will help take away the dread of teaching students the quadratic formula. The word quadratic is derived from the word quad, which means square, so the variable is squared. Students will represent each bounce with a quadratic function of the form y = a (x - h) 2 + k. We'll explore how these functions and the parabolas they produce can be used to solve … Discover how changing coefficients changes the shape of a curve. Students will sort tables, graphs, and equations to identify them between linear, quadratic, and exponential functions. I decided that a card sort was the perfect method to introduce my Algebra 2 students to the vertex form of a quadratic. Introduction to Quadratic Graphs • Activity Builder by Desmos Classroom. Gives correct answer: true 1 1 2. Why are enzymes important? After all, it’s not like you hear a. Day 1 Getting Started: Be My One and Only Activity 4. ensign drilling The U-shaped graph of a quadratic function is called a parabola1, you graphed quadratic functions using tables of values. m of = ( − h)2 + the vertex is the point (h, ). Explore math with our beautiful, free online graphing calculator. Equations Algebra Math Quadratic Activity Quadratic Functions Anatomy (3) Activity Transforming Graphs of Quadratic Functions (1) Activity Solving Quadratic Equations Using Quadratic Formula (Quiz) udent Activity 24. A quadratic function is a function that can be written in the form f(x) a(x h)2 = − + k, where a ≠ 0. As a commercial developer, you have planned to build a new shopping mall. 3 You can model the motion of a pumpkin released from a catapult using a vertical motion model. The standard form of a quadratic function presents the function in the form. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. Unit 8 + Activities: Quadratic Functions - Texas Algebra 1 BUNDLE INCLUDES ACTIVITIES! 5 digital activities for Google Slides™ + printable versions offer flexibility for teachers navigating distance learning, hybrid teaching, or in-person instruction while social distancing. We've seen linear and exponential functions, and now we're ready for quadratic functions. Students are given a fill-in-the blank table where some information is already given. The students will successfully use any available tools or technologies to assist them, such as a graphing calculator. Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Parent topic: Functions. Worked example: Rewriting & solving equations by completing the square. This form is sometimes known as the vertex form or standard form. Compare different forms of a quadratic function. Use the interactive below to explore how transformations affect the vertex form of a quadratic. Worked example. mya info Pulmonary function tests are a group of tests that measure breathing an. Problems 1 to 10 have a leading coefficient of 1. However, feel free to review the problems and select specific ones to meet your student needs. First step, make sure the equation is in the format from above, a x 2 + b x + c = 0 : is what makes it a quadratic). In order to master the techniques explained here it is vital that you. Name That Function by Algebra and Beyond. Key Steps Students will utilize a program to calculate the two solutions to quadratic functions. Quadratics by factoring Enter the solutions from least to greatest. Decide whether to include negatives in the coefficients, and whether to use x or another random letter. Graphing lines using slope-intercept form. As I mentioned before, we need to attach the plus or minus. 1. All equations are given in standard form. These matching activities include horizontal and vertical translations, reflections, and horizontal and vertical stretches and. Later, students will determine characteristics of the graph of a parabola given either in standard form, vertex form, or intercept form. Explore math with our beautiful, free online graphing calculator. Trusted by business builders worldwide, the HubSpot Blogs are your number-one source for e. If the quadratic factors easily, this method is very quick. giveaway winner generator The bundle currently has the following activities, each of which take between 30 and 60 minutes to complete. Quadratic Equations Project (with FREE printables!) By Bethany July 2, 2014. The first part of the activity focuses on the vertex form, while the second part focuses on the standard form. Summary. k v bM na Odze I tw 9i Ct4hA lIvn gfAiDnWiIt weT 6A AlGg6e BbZr Uat i2 n. Each student should receive his or her own set of worksheets. In this activity, students continue to explore how quadratic functions can model the movement of a falling object. Sleep is critical to your health and well-being. The quadratic formula helps us solve any quadratic equation. Slide 1: CoverSlide 2: VIDEO depicting the key featuresSlide 3: Vocabulary (students fill in parts of the table by typing in). Jan 5, 2024 · This collection of 12 free and fun quadratic formula activities will help take away the dread of teaching students the quadratic formula. This worksheet offers 12 problems including problems about finding key characteristics of quadratic functions such as the vertex, y - intercept, changing forms, and graphing. Notice that in order to apply the quadratic formula, we must transform the quadratic equation into the standard form, that is, [latex]a{x^2} + bx + c = 0[/latex] where [latex]a \ne 0[/latex].
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To calculate the discriminant of a quadratic equation, put the equation in standard form. Students receive real time feedback as they work through this. WHY. Looking for a fun way for students to practice using the Quadratic Formula? In this post there is a variety of algebra activities for students to practice using the formula to solve quadratic word problems and find zeros. Solve quadratic equations by factoring and be able to explain why this process is valid. Students should be familiar at this point with t-tables and how to plot points from. The bundle currently has the following activities, each of which take between 30 and 60 minutes to complete. Fit a quadratic graph to the points (1, 5) (the vertex), (2, 6) and (3, 9) Fit a quadratic graph to the points (-3, -2) (the vertex), (-2, 0) and (-1, 6) Try to work out what the equation will be first, and then use the applet to check your solution. Always On. Lesson Plan - editable Word. Mar 22, 2021 · Here are 5 tips and activities for teaching quadratic functions to students who struggle with math and students with IEPs in math. The constants a, b, and c are called the parameters of the equation. Translate into an equation. The concept of a variable can be difficult for students to grasp. Remember if the x value is out of the. We've seen linear and exponential functions, and now we're ready for quadratic functions. A term raised to the second power like x 2 is called a square in algebra because it is the area of a square with side x Terminology Coefficients. One team -- Brianna, Steven, and Cody -- describe the catapult project to me. Both representations of a quadratic equation can be used to find the solution. Example #2: Determine if vertex of the quadratic function is a minimum or a maximum point in its parabola and if the parabola opens upward or downward) f (x)= -5x + 2x2 + 2 b. zero, there is one real solution. unbloocked games Subject: Mathematics Resource type: Worksheet/Activity pdf, 90 pdf, 100 Students must solve twelve quadratic formulas, some that will require rearranging to reveal the code. Multiply by the coefficient of a and get y = ax^2 -2ahx +ah^2 + k. Activity 1 - Quadratic Functions: Plumbers and Helpers To explore functions in Algebra To make the transition from a typical algebra word problem to an. (with 6-2 • Estimate solutions of quadratic equations by graphing. At the end of the activity they are asked to apply the horizontal and vertical translations with a different scale factor. Section 2. Optional word wall to use as an accommodation for students with special needs. A guided lesson video (optional) is also available for this activity. Using the quadratic formula (6 cards) 4. Learn about the function of water and find out why vitamins are important for our bodies Understanding what each car part does will help to know how to troubleshoot your car and communicate to your mechanic about what you are observing. 3 0 bMuaXdIei dwIi kt5hX yIon kfPiLn vi3t Ae7 5A ylng 9eBb VrjaC i1 D. A quadratic function is a function of degree two. The squaring function f(x) = x2 is a quadratic function whose graph follows4 5 In this section you will learn how to draw the graph of the quadratic function defined by the equation f (x)=a (x−h)2+k. Activity 5 Direction: Write each quadratic equation in standard form. From Autism Awareness to Business Growth, the activities provide learners with valuable life skills in addition to mathematical understanding. The general form of a quadratic function is f(x) = ax2 + bx + c where a, b, and c are real numbers and a ≠ 0. Quadratic functions play a vital role in algebra, particularly when dealing with problem-solving and graphing. To help students better understand and interact with … This activity is an introduction to the Quadratic Formula. ns and polynomials vocabulary 3 are multiplying polynomials Quadratic functions stations is a great way to review students over several components of a quadratic functions. Solving quadratic equations w/ square roots. This section of the Math Teaching Resource Index offers an extensive range of resources, including lesson plans, engaging activities, challenging worksheets. The Quadratic Formula Calculator finds solutions to quadratic equations with real coefficients. Weekly Focus: quadratic equations. airco llc Jun 11, 2023 · Get ready to take graphing quadratic functions to the next level with 14 interactive activities! Designed to engage and inspire high school math learners, these hands-on experiences will transform the way they understand and visualize quadratic graphs- making graphing a breeze! Are you looking for fun, hands-on activities to teach factoring quadratics or the quadratic formula? In this post are lots of ideas and free resources for helping students when teaching lessons on quadratics. Quadratic Functions BIG Bundle (Algebra 2 - Unit 4) This is a BIG Bundle of foldables, guided notes, homework, daily content quizzes, mid-unit and end-unit assessments, review assignments, and cooperative activities Algebra 2 Honors UNIT 4: QUADRATIC FUNCTIONS & EQUATIONS. 1) What are the zeros of the function? Write the smaller x first, and the larger x second. Quadratic Functions and Parabolas in the Real Worldbe/He42k1xRpbQ. Writing linear equations. Over 4,500 free worksheets available to learn and practice math. Weekly Focus: quadratic equations. Mar 22, 2021 · Here are 5 tips and activities for teaching quadratic functions to students who struggle with math and students with IEPs in math. A quadratic function is a polynomial function of degree 2 which can be written in the general form, f(x) = ax2 + bx + c. Feb 22, 2017 · Desmos specializes in building conceptual understanding of functions, particularly between graphical and algebraic representations. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Help your students further practice identifying key characteristics and features of a quadratic function using this set of task cards! There are 16 task cards total - 8 graphs and 8 equations (written in vertex form) Use the task cards as a walk around activity or project them one at a time on the front board for students Math Worksheets. This resource collection focuses on activities for introducing, practicing, and memorizing the quadratic formula. Students will practice graphing and identifying characteristics of quadratic functions. a function that can be written in the form f (x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve the most basic function of a family of. Learn with confidence. Quadratic Functions Anatomy (3) Activity Transforming Graphs of Quadratic Functions (1) Activity. The coefficients of a quadratic function are often taken to be real or complex numbers, but they may be taken in any ring, in which case the domain and the codomain. Quadratic Functions Mystery Code Activity. We'll tackle both jobs in this episode. red sox tickets stubhub These example of quadratic equation in real life situation will help to visualize and understand quadratic equations in real life. We can now put this together and graph quadratic functions by first putting them into the form by completing the square. Only irrational and rational roots included. Quadratic Functions and Parabolas in the Real Worldbe/He42k1xRpbQ. The squaring function f(x) = x2 is a quadratic function whose graph follows4 5 In this section you will learn how to draw the graph of the quadratic function defined by the equation f (x)=a (x−h)2+k. This free Quadratic Formula warm up template gives students the structure of the formula so that they can focus on the values to plug in and solving. In Activities 2 and 3, students will answer problems in the student book and the workbook. Graphing Quadratics • Activity Builder by Desmos Classroom by Kelsey Marquette. 1. The coefficients of a quadratic function are often taken to be real or complex numbers, but they may be taken in any ring, in which case the domain and the codomain. Learn about sleep disorders, treatments, and good sleep habits. There is a companion worksheet for this activity, which subscribers can download. Description. Students will cut out the characteristics and paste them on the correct spot of the graph. Learn how to solve quadratic equations by factoring, using the zero-product property and the difference of squares. Subject: Mathematics Resource type: Worksheet/Activity pdf, 90 pdf, 100 Students must solve twelve quadratic formulas, some that will require rearranging to reveal the code. Factoring Quadratics Practice Activity (When a = 1) I want to share a factoring quadratics practice activity I created for my Algebra 2 students. On the final screens, teachers show the activity's teacher dashboard to help students see how the discriminant relates to the intercepts of the parabola. While most modern cars contain computerized systems that are beyond the understanding of all but the mos. Then hand out copies of the worksheets and suggest that students work on the task in pairs. Three Forms of Quadratic Functions • Activity Builder by Desmos Classroom by Laura Montgomery. The values of a, b, and c determine the shape and position of the.
View the graphs of individual terms (e y=bx) to see how they add to generate the polynomial curve. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Graphing lines using slope-intercept form. We'll explore how these functions and the parabolas they produce can be used to solve real-world problems. y2 = 11y−28 y 2 = 11 y − 28 Solution. If you want to grow a retail business, you need to simultaneously manage daily operations and consider new strategies. Students are introduced to quadratic functions in this unit. handyman drywall near me We will look at four methods: solution by factorisation, solution by completing the square, solution using a formula, and solution using graphs. We can think graphs of absolute value and quadratic functions as transformations of the parent functions |x| and x². Introduction to Quadratic Graphs • Activity Builder by Desmos Classroom. Clearly, the graph of a quadratic has a curved shape, and its endpoints both point in the same direction Exercise 98. Towards the end of the video is a shortcut for graphing vertex form quadratics with a pattern instead of a table. For each graph, describe how the graph of each transformation compares to function f a ( x) = f ( x) + 2. part time dishwasher jobs Solving equations on the graph by actually plotting and assigning values to the unknown variable is a fun way to help the … The graph of a quadratic function is a parabola, which is a "u"-shaped curve. The unit includes 10 lessons which are presented to students using two di. Etymology. The video is targeted at students and designed to help guide them through the interactive exploration and the concepts covered within. ) Take the Square Root Quadratic Formula Graphing Quadratic Equations in Intercept Form • Activity Builder by Desmos Classroom This activity can be used to introduce graphing a quadratic equation in intercept form. This Lesson Plan introduces students to quadratic functions. Provide an example, such as: f (x) = - 4x² + 10x + 9. A quadratic function is a function of degree two. funny cash app notes Importantly, we can extend this idea to include transformations of any function whatsoever! This fascinating concept allows us to graph many other types of functions, like square/cube root, exponential and logarithmic functions. Graph Quadratic Functions Using Transformations. Point out that there are cases where this is not so obvious, such as: ©J P230 u1i2 5 CK Auft QaT tSkotf 2tDwma7rzeB BL cL9Cz. Because the vertex appears in the standard form of the quadratic function, this form is also known as the vertex form of a quadratic function. The U-shaped graph of a quadratic function is called a parabola In Section 1.
In this activity, students will work with properties of parabolas. Quadratic Card Sort • Activity Builder by Desmos Classroom In this card sort students focus on the solutions of quadratic relations. Students are given cards featuring six graphs of quadratics, six equations in. Jun 11, 2023 · Get ready to take graphing quadratic functions to the next level with 14 interactive activities! Designed to engage and inspire high school math learners, these hands-on experiences will transform the way they understand and visualize quadratic graphs- making graphing a breeze! Are you looking for fun, hands-on activities to teach factoring quadratics or the quadratic formula? In this post are lots of ideas and free resources for helping students when teaching lessons on quadratics. Students will practice factoring quadratic expressions throughout. Identify range, vertical translations, horizontal translation, dilations, reflections, and write the equation in vertex form. Graphing linear inequalities. Solving equations on the graph by actually plotting and assigning values to the unknown variable is a fun way to help the … The graph of a quadratic function is a parabola, which is a "u"-shaped curve. First step, make sure the equation is in the format from above, a x 2 + b x + c = 0 : is what makes it a quadratic). Explore quizzes and practice tests created by teachers and students or create one from your course material. Time to Complete: Each student handout is designed for a single class period. Mar 22, 2021 · Here are 5 tips and activities for teaching quadratic functions to students who struggle with math and students with IEPs in math. bismarck north dakota mugshots Make leading coefficient 1, by dividing by a. In this activity, students work through a series of scaffolded quadratic graphing challenges to develop their proficiency solving quadratic equations by various methods. Keep in mind that different equations call for different factorization methods. Jun 11, 2023 · Get ready to take graphing quadratic functions to the next level with 14 interactive activities! Designed to engage and inspire high school math learners, these hands-on experiences will transform the way they understand and visualize quadratic graphs- making graphing a breeze! Are you looking for fun, hands-on activities to teach factoring quadratics or the quadratic formula? In this post are lots of ideas and free resources for helping students when teaching lessons on quadratics. ax2 a + b ax = −c a a x 2 a + b a x = − c a. Then, they will use their calculator's regression function to formulate linear. Students first sequence the correct steps for using the formula. Initially, the value assigned to 'a. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. Writing linear equations. You are able to find the vertex, intercepts, describe what graphs look like and solve applications Start over; Help; This activity was created by a Quia Web subscriber Description. They evaluate the function seen earlier ( d=16t^2) at a non-integer input, and then build a new function to represent the distance from the ground of a falling object t seconds after it is dropped. A quadratic equation in the variable x is an equation of the form ax 2 + bx + c = 0, where a, b, c are real numbers, a ≠ 0 A quadratic function is a function that can be written in the form f(x) a(x h)2 k, = − + where a 0. The graph of a quadratic function is a parabola. root)(x -root), where the x and y is the coordinates of your vertex. Students are asked to match a parabola graph with solutions, factor sets, and quadratic equations. Name 1 key feature that helped you match a graph wit m Name another key feature that helped you match Standard Form with a descripti G4 G2. old vans Recognize when the quadratic formula gives complex solutions and write them as 𝘢 ± 𝘣𝘪 for real numbers 𝘢 and 𝘣. By the end of the exercise set, you may have been wondering 'isn't there an easier way to do this?' The answer is 'yes'. Lesson 3 Quadratic Functions and Applications models real-life situations using quadratic functions represents a quadratic functions using (a) tables of values; (b) graph and (c) equation transforms the quadratic functions defined by y = ax2 + bx + c into the form y = a(x - h)2 + k graphs a quadratic functions: (a) domain, (b) range, (c. Key Features of Quadratic Functions Interactive Digital Notebook. Check out this graph of the quadratic parent function y = x 2 A quadratic function can be written in standard form, as shown in the "slider" function in green below Explore the sliders for "a", "b", and "c" to see how changing these values impacts the graph of the parabola This activity will explore the translations of a parabola and the quadratic equation in vertex form. Students will practice solving applications of quadratic equations (area of rectangles, product of consecutive integers, and projectile motion) as they rotate through 10 stations with this "Math Lib" Activity. Once you have chosen the attributes, press Generate Activity and you will be. This resource collection focuses on activities for introducing, practicing, and memorizing the quadratic formula. Here you will find our range of Factoring Quadratic Equations Worksheets. 6−2 +3 2=0 Not Quadratic Not Quadratic Quadratic. This resource collection focuses on activities for introducing, practicing, and memorizing the quadratic formula. Quadratic Graphs, Tables, and Equations • Activity Builder by Desmos Classroom Match the standard form quadratic equation with the correct graph and table of values. The Function of Water - The function of water is to act as a messenger within our system. Students will represent each bounce with a quadratic function of the form y = a (x - h) 2 + k. ax2 + bx = −c a x 2 + b x = − c. Identify range, vertical translations, horizontal translation, dilations, reflections, and write the equation in vertex form. Products00 $33367 Quadratic Functions Unit Bundle with Activities.