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Graph y=12x Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Click on the graph until the correct graph appears. Graph the parabola using its properties and the selected points. Graph y=(x-9)^2 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. Are you looking to present your data in a visually appealing and easy-to-understand manner? Look no further than Excel’s bar graph feature. Find , the distance from the vertex to the focus. Graph y=(x-2)^2-1 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. The variable represents the radius of the circle, represents the x-offset from the origin, and represents the y-offset from origin. Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift Find the amplitude Step 622 Divide by 52. To graph a linear equation in slope-intercept form, we can use the information given by that form. The \(y\) values start at \(y = 2\), and even though the graph appears to be more horizontal than vertical, there is no limit on how much it is going to grow (even though it looks like it's slowing down!). They both organize data in different ways, but using one is not necessarily better. Graph 2x^2+y^2-1=0 Find the standard form of the ellipse Step 1 Add to both sides of the equation2. Graph y=2(x-1)^2-4 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. Graph y=2/3x+6 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. Vertex: Focus: How to Graph a horizontal line using the slope and y-intercept. Graph y=1/2x+5 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. The short answer: A lot of things! Here are some cleve. Find the values of and using the form 3. Graph Transformations Log InorSign Up. Slope: y-intercept: Graph y=-x^2-4x-1 Find the properties of the given parabola Step 1 Rewrite the equation in vertex form Step 11. When x gets near zero (but not zero!) the function becomes. List the points in a table. The popular press notion that. Graph (x^2)/4+(y^2)/9=1 Simplify each term in the equation in order to set the right side equal to Step 82. Use this form to determine the values used to find vertices and asymptotes of the hyperbola. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more Explore math with our beautiful, free online graphing calculator y = 3 cos 2 x − 1 2 powered by "x" x "y" y "a" squared a 2 Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more Explore math with our beautiful, free online graphing calculator. This is half of the period Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude Step 4. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on. Direction: Opens Right. The slope of the line is the value of , and the y-intercept is the value of. The cost of a pen is £0. It is perhaps easiest to think of y=2 as being a line where all the values of y are 2. Combine the numerators over the common denominator4 In this video we'll draw the graph for y = 1/2x + 4. There are several methods that can be used to graph a linear equation. Find the values of and using the form 3. Graph a Linear Equation by Plotting Points. The exact value of is. The term structure of interest. Complete the square for Step 11 Use the form , to find the values of , , and 12. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. It also allows users to create sheets of large data and use that da. Find the values of and using the form Graph the line using the slope and the y-intercept, or the points. Find the values of and using the form 3. To graph the line which has equation y = -2/3x + 1, start at the y-intercept and use the slope to find additional points. The intersection of the system of equations is the solution Graph y=7/2x-2 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is the slope and is the y-intercept2 Step 2. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Subtract full rotations of until the angle is greater than or equal to and less than 53. Graph y=-4x+2 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Slope: y-intercept: Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. The slope of the line is the value of , and the y-intercept is the value of. Graph (x^2)/4+(y^2)/25=1 Simplify each term in the equation in order to set the right side equal to Step 82. Find where the expression is undefined The vertical asymptotes occur at areas of infinite discontinuity. Graph y=2/3x-4 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. Graph a dashed line, then shade the area below the boundary line since is less than Find the vertex and axis of symmetry Determine points on both sides of the axis of symmetry Sketch a curve to represent the parabola. Graph paper is a versatile tool that has been used for centuries in the fields of math and science. 35, therefore, the cost of 5 pens will be: Explore math with our beautiful, free online graphing calculator. Find the values of and using the form 3. For example, you might have sales figures from four key. Find the period of Graph y=sin(2x-pi/2) Step 1. One of its most useful features is the ability to create interactive charts and grap. Graph y=-1 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more Save Copy x − h 2 a + y − k 2 b = r 2 r = 1 h = 1 k = 1 Graph y=|2x-1| Step 1. Find the values of and using the form 3. Find the values of and using the form 3. In this comprehensive guide, we will explore the world of p. Use the vertex form, , to determine the values of , , and 3. The slope of the line is the value of , and the y-intercept is the value of. This is half of the period Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude Step 4. Graph (x^2)/4+(y^2)/25=1 Simplify each term in the equation in order to set the right side equal to Step 82. Explanation: #y=ln(x^2+1)# Since #x^2 +1 >= 1 forall x in RR ->y# is defined #forall x in RR# #:. Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift Find the amplitude Step 62 Subtract full rotations of until the angle is greater than or equal to and less than 52. Slope: y-intercept: Step 5. (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph! Graph y=2 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Get free real-time information on GRT/USD quotes including GRT/USD live chart. Vertex: Graph y^2=4x Rewrite the equation as Divide each term in by and simplify Step 2 Divide each term in by 2 Step 42 Remove parentheses42. How do you dress up your business reports outside of charts and graphs? And how many pictures of cats do you include? Comments are closed. Graph y=-3x^2+6x-1 Find the properties of the given parabola Step 1 Rewrite the equation in vertex form Step 11. payback ch 61 Step 2 Replace the variable with in the expression2. Graph y^2=2x Rewrite the equation as Divide each term in by and simplify Step 2 Divide each term in by 2. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more Save Copy x − h 2 a + y − k 2 b = r 2 r = 1 h = 1 k = 1 Graph y=|2x-1| Step 1. Click here 👆 to get an answer to your question ️ Graph y ≥ -x^2 - 1. Graph y=-2x-1 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Graph paper is a versatile tool that has been used for centuries in the fields of math and science. For example, you might have sales figures from four key. Subtract from both sides of the equation Step 31 Step 32. Adding 1 to the y-coordinate, we get the vertex of the graph y = |x + 2| + 1, which is (-2, 1). # the range of #y# is: #[0, +oo)# #y=0 -> ln(x^2+1) = 0# Graph y=2x+5 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Therefore, The coordinates of the vertex are (-2, 1). Graph y=1/2g(x) Step 1. Graph x=y-y^2 Reorder and Find the properties of the given parabola Step 2 Rewrite the equation in vertex form Step 21. In this video where we're going to graph of the equation y=1/x. The y-intercept is the point (0,2) The given function is increasing, because the y-value increases as the x. Google Spreadsheets is a powerful tool that can help you organize and analyze data effectively. Use this form to determine the values used to find vertices and asymptotes of the hyperbola. Graph y=1/2x+7 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. Use the basic period for , , to find the vertical asymptotes for. Learn the steps on how to graph the equation of a line y = -1/2x on a Cartesian graph. Simplify the left side Step 21. treasure of nadia walkthrough To reset the zoom to the original bounds click on the Reset button Click-and-drag to move the graph around. Graph the parabola using its properties and the selected points Graph the parabola using its properties and the selected points. Direction: Opens Up. Graph y=cos(x) Step 1. Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2 Graph y=2(x-1)^2-2 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. y=-2x+1 Find the the x intercept by putting y=0 0=-2x+1 2x=1 x=1/2 So, x intercept is (0 The graphs of \(y=\log _{2} (x), y=\log _{3} (x)\), and \(y=\log _{5} (x)\) (all log functions with \(b>1\)), are similar in shape and also: All graphs contains the. Slope: y-intercept: Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Vertex: Graph y^2=1/2x Rewrite the equation as Multiply both sides of the equation by Simplify the left side Step 3 Simplify Step 31 Step 32. 1 comma 5 puts us right over there. In this video where we're going to graph of the equation y=1/x. The slope of the line is the value of , and the y-intercept is the value of Graph (y^2)/16-(x^2)/9=1 Simplify each term in the equation in order to set the right side equal to. \(\begin{array}{l}\,\,\,\,y=2x-5\\-3=2\left(1\right)-5\\-3=2-5\\-3=-3\\\text{This is true. Find the values of and using the form 3. Find the values of and using the form 3. The equation can be in any form as long as its linear and and you can find the slope and y-intercept. All this means is that determining whether an ordered pair is a solution of an equation is pretty straightforward. To graph the line represented by the equation y = -2/3x + 1, we can use the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept In this equation, the slope is -2/3 and the y-intercept is 1. Click on the intersection of the x axis and the graph of. Graph y=1/2x+11 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. leevy's funeral home obits Find , the distance from the vertex to the focus. Graphs are essential tools that help us visualize data and information. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Graph (x^2)/4+(y^2)/9=1 Simplify each term in the equation in order to set the right side equal to Step 82. List the points in a table. Graph y=sin(x-pi/2) Step 1. Graph y^2=24x Rewrite the equation as Divide each term in by and simplify Step 2 Divide each term in by 2. Vertex: Focus: Axis of Symmetry: Step 2 The slope-intercept form is , where is the slope and is the y-intercept2. Graph y=2/3x-4 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. The graph displays the results. Graph y=2(1/2x) Step 1. How do you graph #x^2+y^2-1=0#? Geometry Circles Equation of a Circle Dec 29, 2016 In this video we'll draw the graph for y = 1/4x + 2. Logarithm base of is. Raise to the power of 2 Multiply by Graph the parabola using its properties and the selected points Graph the parabola using its properties and the selected points. Direction: Opens Up. To write as a fraction with a common denominator, multiply by 3 Step 1 Graph y>=-2x+2 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Find , the distance from the vertex to the focus. Cancel the common factor of Step 32 Cancel the common factor.
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Your equation is in slope intercept form, y=mx+b, where m is the slope and b is the y-intercept. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Step 314 Step 32. The equation can be graphed as the equation y=0x+2. Direction: Opens Down. If you just want to graph a function in "y=. # the domain of #y# is #(-oo,+oo)# Since #(x^2+1) >= 1 forall x in RR# then #ln(x^2+1) >=0 forall x in RR# #:. The popular press notion that. Find , the distance from the vertex to the focus. Find the values of and using the form 3. Graph y=1x+2 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Graph y-1=-1/3*(x+4) Step 1. The exact value of is 52. narragansett and irving park Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Points x=-3,y=3 x=0,y=1 x=3,y=-1 Plot the points and draw a straight line through them. To graph this line, create a table of x and y values, calculate the corresponding y-values for each x, then plot those points and draw the line. Slope: y-intercept: Step 6. Find , the distance from the vertex to the focus. How do you dress up your business reports outside of charts and graphs? And how many pictures of cats do you include? Comments are closed. It is perhaps easiest to think of y=2 as being a line where all the values of y are 2. Graph y=(x-9)^2 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. In today’s fast-paced digital world, staying organized and managing information effectively is crucial for success. Graph the parabola using its properties and the selected. Slope: y-intercept: Step 5. It is perhaps easiest to think of y=2 as being a line where all the values of y are 2. Explore math with our beautiful, free online graphing calculator. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. 22re timing chain kit Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift Find the amplitude Find the period of Step 3 The period of the function can be calculated using. The following is a graph of the function: graph{y=2|x-1|-3 [-1424, -712]} Answer link How do you graph absolute value equations on a coordinate plane? How do you create a table of values for an absolute value equation?. The domain of the expression is all real numbers except where the expression is undefined. Sal has the equation: y = -2(x+5)^2+4. This is vertex form. Graph y=(1/2)sin(x+pi/2) Step 1. The standard form of an ellipse or hyperbola requires the right side of the equation be This is the form of a hyperbola. Find , the distance from the vertex to the focus. Graph y=-1/6x+2 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is the slope and is the y-intercept2 Step 32 Step 3 Create a table of the and values Graph the line using the slope and the y-intercept, or the points. Add to both sides of the equation1 Reorder and 2. The slope of the line is the value of , and the y-intercept is the value of. Slope: y-intercept. Since the ratio of the cost of a pen to the cost of a pencil is 7: 3, therefore, the cost of a pen will be: = 7/3 × £035. Remember that the y-intercept is the value of y when the value of x is equal to zero substitute. The graph is a horizontal line where all values for y are 2 y=-2/3x+1 has its y-intercept at 1, which is coordinates (0,1)and then the slope of -2/3 means you go DOWN 2 and RIGHT 3 over and over Graph y=2x+4 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Step 131 Step 132 Step 1 The basic period for will occur at , where and are vertical asymptotes Since the graph of the function does not have a maximum or minimum value, there can be no value for the amplitude Step 4. Graph y+3=1/2*(x+2) Step 1. south alabama espn Graph 2x^2+y^2-1=0 Find the standard form of the ellipse Step 1 Add to both sides of the equation2. Designers will pixel push, frontend engineers will. The slope of the line is the value of , and the y-intercept is the value of. Slope: y-intercept. Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! Graph y=2x-1 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. The graph displays the results. Graph graph{y=-2/3x+1 [-10, 10, -5, 5]} Graph y=1/4x+6 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. One is the ability to create a chart with different Y-axes on each side of the chart The tangent line for a graph at a given point is the best straight-line approximation for the graph at that spot. First, we will use a table of values to plot points on. In this video we'll draw the graph for y = 2/3x - 1. Graph y=1/3x+2 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is the slope and is the y-intercept2 Step 2. Graphs are beneficial because they summarize and display information in a manner that is easy for most people to comprehend. Step 2 Replace the variable with in the expression2. The method we used at the start of this section to graph is called plotting points, or the Point-Plotting Method Let's graph the equation y = 2 x + 1 y = 2 x + 1 by plotting points We start by finding three points that are solutions to the equation. For example, you might have sales figures from four key. Use the slope-intercept form to find the slope and y-intercept Slope: 1 2 1 2. Graph y=2/5x-1 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is the slope and is the y-intercept2 Step 2. Since the value of is positive, the parabola opens up Step 1 Find the vertex4.
The standard form of an ellipse or hyperbola requires the right side of the equation be This is the form of a hyperbola. Use the vertex form, , to determine the values of , , and 3. Indices Commodities Currencies Stocks Microsoft Excel's graphing capabilities includes a variety of ways to display your data. List the points in a table. department of motor vehicles fulton mo So if we were to graph it, that is my vertical axis, that is my horizontal axis. To write as a fraction with a common denominator, multiply by 3 Step 1 Graph y>=-2x+2 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Graph y=e^(-x^2) Step 1. Since the value of is positive, the parabola opens up Step 1 Find the vertex4. Facebook today unveiled a new search feature for its flagship product, facebook. Facebook today unveiled a new search feature for its flagship product, facebook. is paul walter hauser related to cole hauser Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2 Graph y=2(x-1)^2-2 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. Graph y=-2/5x+1 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is the slope and is the y-intercept2 Step 32 Step 3 Create a table of the and values Graph the line using the slope and the y-intercept, or the points. Graph y+2=(x+1)^2 Find the properties of the given parabola Step 1 Subtract from both sides of the equation2. The \(y\) values start at \(y = 2\), and even though the graph appears to be more horizontal than vertical, there is no limit on how much it is going to grow (even though it looks like it's slowing down!). First, we will use a table of values to plot points on the graph graph sqrt(x^2 + y^2) Natural Language; Math Input; Extended Keyboard Examples Upload Random. Graph y+2=1/5*(x-1) Step 1. 10th house stellium meaning Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. There are so many types of graphs and charts at your disposal, how do you know which should present your data? Here are 14 examples and why to use them. Graph y = natural log of x+1 Find the asymptotes Step 1 Set the argument of the logarithm equal to zero2. Substitute in the values of and Find , the distance from the. Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2 Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. For example, you might have sales figures from four key. Graph y=(x-2)^2 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. Find the values of and using the form 3. Find the values of and using the form 3. Shade the area below (because y is less than or equal to): Example: 2y − x ≤ 6 We will need to rearrange this one so "y" is on its own on the left: Graph y=1/2 Use the slope-intercept form to find the slope and y-intercept Step 1 The slope-intercept form is , where is the slope and is the y-intercept2. Slope: y-intercept: Step 5. This is a linear equation and will have a linear graph of straight line. The slope of the line is the value of , and the y-intercept is the value of. Slope: y-intercept. The exact value of is 52 Step 62 The final answer is 6. y=-2(x+1)^2+1 y=-2x-2^3 y=-2x+4 Start at 4 on the y axis and go up 2 and over to the right one, do this till you have two points and graph the line. It is perhaps easiest to think of y=1 as being a line where all the values of y are 1. Find , the distance from the vertex to the focus. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Find the values of and using the form 3. ts in raleigh nc Step-by-step explanation: we have. This document is designed to allow you to solve ax^2+bx+c=0 equations 1 2 3 4 5. The equation can be graphed as the equation y=0x+2. This document is designed to allow you to solve ax^2+bx+c=0 equations 1 2 3 4 5. Graphs are essential tools that help us visualize data and information. Web site PDF Pad lets you download printable calendars, graph paper, charts, sto. Since the value of is positive, the parabola opens up Step 1 Find the vertex4. Find where the expression is undefined The vertical asymptotes occur at areas of infinite discontinuity. You may also see this written as f(x) = 1/2x + 4. Graph y=2/3x+6 Rewrite in slope-intercept form Step 1 The slope-intercept form is , where is Use the slope-intercept form to find the slope and y-intercept Step 2 Find the values of and using the form 2. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more Save Copy Graph a function. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Relating linear contexts to graph features Get 5 of 7 questions to level up! Using slope and intercepts in context Get 3 of 4 questions to level up! Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Since the value of is positive, the parabola opens up Step 1 Find the vertex4. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. twitchy bottom lip Graph y = log base 1/2 of x Find the asymptotes Step 1 Set the argument of the logarithm equal to zero2. Graph y^2-1 Find the properties of the given parabola Step 1 Rewrite the equation in vertex form Step 11 Step 22 The final answer is 1 Convert to decimal2. " style you may prefer Function Grapher and Calculator Use the zoom slider (to the left zooms in, to the right zooms out). The exact value of is. Graph y=(x-1)^2-5 Find the properties of the given parabola Step 1 Use the vertex form, , to determine the values of , , and 2. com, that creates new competition for online information providers ranging from search engines to re. }\end{array}\) You can also try ANY of the other points on the line. Since the ratio of the cost of a pen to the cost of a pencil is 7: 3, therefore, the cost of a pen will be: = 7/3 × £035. Step 2 Replace the variable with in the expression2. The slope of the line is the value of , and the y-intercept is the value of. If x = 1, y = 2(1) - 6 = -4 if x = 4, y = 2(4) - 6 = 2 Thus, two solutions of the equation are (1, -4) and (4, 2). The variable represents the radius of the circle, represents the x-offset from the origin, and represents the y-offset from origin. The exact value of is 52. The graph of a quadratic function is a parabola, and the width of the parabola is determined by the coefficient of the x^2 term.