Graph of x 2

Oct 6, 2015 ... Graph a function by translating the parent function.The graph of a function is the graph of all its ordered pairs, (x,y) (x,y) or using function notation, (x,f (x)) (x,f (x)) where y=f (x).y=f (x). This page titled 2.6: Graphs of Functions is shared under a license and was authored, remixed, and/or curated by. 2.5: Relations and Functions.In Figure 2(c), note that the graph of \(f(x) = x^2\), \(x \ge 0\), opens indefinitely to the right as the graph rises to infinity. Hence, after reflecting this graph across the line y = x, the resulting graph must rise upward indefinitely as it moves to the right. Thus, the range of the square root function is \([0, \infty)\).Algebra. Graph y=2^x. y = 2x y = 2 x. Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 y = 0. Horizontal Asymptote: y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math ...Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (2,0) ( 2, 0) Focus: (2, 1 4) ( 2, 1 4) Axis of Symmetry: x = 2 x = 2. Directrix: y = −1 4 y = - 1 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. The x x values should be selected around the vertex. In Figure 2(c), note that the graph of \(f(x) = x^2\), \(x \ge 0\), opens indefinitely to the right as the graph rises to infinity. Hence, after reflecting this graph across the line y = x, the resulting graph must rise upward indefinitely as it moves to the right. Thus, the range of the square root function is \([0, \infty)\).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. The first step in creating a bar graph i...Algebra. Graph x^2+y^2=1. x2 + y2 = 1 x 2 + y 2 = 1. This is the form of a circle. Use this form to determine the center and radius of the circle. (x−h)2 +(y−k)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2. Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x-offset ...Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Jan 16, 2017 ... In this math video lesson I review how to graph the exponential equation y=2^x by making a table. The table helps when graphing these types ...Here are the graphs of x > 2 and x≥2, respectively: Graph of the Inequality x > 2 Graph of the Inequality x≥2 An inequality with a "≠" sign has a solution set which is all the real numbers except a single point (or a number of single points). Thus, to graph an inequality with a "≠" sign, graph the entire line with one point removed. For ...Algebra. Graph x^2-2x-3=0. x2 − 2x − 3 = 0 x 2 - 2 x - 3 = 0. Graph each side of the equation. y = x2 −2x−3 y = x 2 - 2 x - 3. y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Algebra Graph x^2 x2 x 2 Find the properties of the given parabola. Tap for more steps... Direction: Opens Up Vertex: (0,0) ( 0, 0) Focus: (0, 1 4) ( 0, 1 4) Axis of Symmetry: x = 0 …Given a function f(x), a new function g(x) = f(x) + k, where k is a constant, is a vertical shift of the function f(x). All the output values change by k units. If k is positive, the graph shifts up. If k is negative, the graph shifts down. Example 2.3.1: Adding a Constant to a …Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Algebra. Graph y=2^x. y = 2x y = 2 x. Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 y = 0. Horizontal Asymptote: y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math ... Algebra. Graph y = square root of x-2. Find the domain for so that a list of values can be picked to find a list of points, which will help graphing the radical. Tap for more steps... Interval Notation: Set -Builder Notation: To find the radical expression end point, substitute the value , which is the least value in the domain, into .Reflection about the y-axis: None. Compressing and stretching depends on the value of a a. When a a is greater than 1 1: Vertically stretched. When a a is between 0 0 and 1 1: Vertically compressed. Vertical Compression or Stretch: None. Compare and list the transformations. Parent Function: y = x2 y = x 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 online graphing calculator - graph functions, conics, and inequalities interactivelyWe're given a table of values and told that the relationship between x and y is linear. Then we're asked to find the intercepts of the corresponding graph. The key is realizing that the x -intercept is the point where y = 0 , and the y -intercept is where x = 0 . The point ( 7, 0) is our x -intercept because when y = 0 , we're on the x -axis.Watch this video to learn how to graph the function y=tan(x) using the properties of tangent and the unit circle. You will also see how the tangent graph relates to the sine and cosine graphs and how to identify its period, amplitude, and asymptotes.In general, the end behavior of a polynomial function is the same as the end behavior of its leading term, or the term with the largest exponent. So the end behavior of g ( x) = − 3 x 2 + 7 x is the same as the end behavior of the monomial − 3 x 2 . Since the degree of − 3 x 2 is even ( 2) and the leading coefficient is negative ( − 3 ...In today’s data-driven world, effective data presentation is key to conveying information in a clear and concise manner. One powerful tool that can assist in this process is a free...Version number: v: 2.126.927.0; Date published: 02/16/2024 ... Drill Down Graph PRO lets you create elegant and user-friendly graphs to represent complex …Free online graphing calculator - graph functions, conics, and inequalities interactivelyy = x2 − 2 y = x 2 - 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−2) ( 0, - 2) Focus: (0,−7 4) ( 0, - 7 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −9 4 y = - 9 4. Select a few x x values, and plug them into the equation to find the corresponding y y values.Jun 22, 2018 ... In this math video lesson, I show how to graph the absolute value function y=abs(x-2)-4. Absolute value equations can be difficult for ...Jun 22, 2018 ... In this math video lesson, I show how to graph the absolute value function y=abs(x-2)-4. Absolute value equations can be difficult for ...graph x^2=y^2-z^2. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase ... 5 years ago. There are multiple ways that you can graph a quadratic. 1) You can create a table of values: pick a value of "x" and calculate "y" to get points and graph the parabola. 2) If the quadratic is factorable, you can use the techniques shown in this video.Mar 31, 2021 ... Graph the Hyperbola x^2 - y^2 = 1 and Find the Domain and Range If you enjoyed this video please consider liking, sharing, and subscribing.A spectral condition for a graph having a strong parity factor. A graph G contains a strong parity factor F if for every subset X ⊆ V(G) with |X| even, G has a …Solution. Verified by Toppr. Graph of 2x + 3y = 2 : Put x = 1, then y = 0. Put x = 4, then y = -2. Put x = -2, then y = 2. Plot the three points (-2,2) , (1,0) and (4,-2) on the graph paper. Join all these points using a single line , and hence we get the line 2x + 3y = 2. Graph of x - …Before graphing, identify the behavior and create a table of points for the graph. Since b = 0.25 b = 0.25 is between zero and one, we know the function is decreasing. The left tail of the graph will increase without bound, and the right tail will approach the asymptote y = 0. y = 0.; Create a table of points as in Table 3.The simplest Quadratic Equation is: f (x) = x 2. And its graph is simple too: This is the curve f (x) = x2. It is a parabola. Now let us see what happens when we introduce the "a" value: f (x) = ax2. Larger values of a squash …Are you tired of spending hours creating graphs and charts for your presentations? Look no further. With free graph templates, you can simplify your data presentation process and s...graph of x^2. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…In today’s digital age, it’s easy to overlook the power of simple tools like printable graph paper. However, this traditional tool can still play a crucial role in improving your w...g(x) = −x2 g ( x) = - x 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (0,0) ( 0, 0) Focus: (0,−1 4) ( 0, - 1 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = 1 4 y = 1 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. y = a ( x − h) 2 + k. This form reveals the vertex, ( h, k) , which in our case is ( − 5, 4) . It also reveals whether the parabola opens up or down. Since a = − 2 , the parabola opens …Free online 3D grapher from GeoGebra: graph 3D functions, plot surfaces, construct solids and much more!Before graphing, identify the behavior and create a table of points for the graph. Since b = 0.25 b = 0.25 is between zero and one, we know the function is decreasing. The left tail of the graph will increase without bound, and the right tail will approach the asymptote y = 0. y = 0.; Create a table of points as in Table 3.Free graphing calculator instantly graphs your math problems. y = x2 − 9 y = x 2 - 9. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−9) ( 0, - 9) Focus: (0,−35 4) ( 0, - 35 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −37 4 y = - 37 4. Select a few x x values, and plug them into the equation to find the corresponding y y values.Transcript. Question 37 [Case Based] In an elliptical sport field the authority wants to design a rectangular soccer field with the maximum possible area. The sport field is given by the graph of 𝑥^2/𝑎^2 +𝑦^2/𝑏^2 =1Based on the above information answer the following questions. Question 37 (i) If the length and the breadth of the ...Reflection about the y-axis: None. Compressing and stretching depends on the value of a a. When a a is greater than 1 1: Vertically stretched. When a a is between 0 0 and 1 1: Vertically compressed. Vertical Compression or Stretch: None. Compare and list the transformations. Parent Function: y = x2 y = x 2.Algebra Graph x^2 x2 x 2 Find the properties of the given parabola. Tap for more steps... Direction: Opens Up Vertex: (0,0) ( 0, 0) Focus: (0, 1 4) ( 0, 1 4) Axis of Symmetry: x = 0 …(1) Draw a graph of y. = x2 and find the value of. (2) Draw the graph of y = 2x2 and find the value of. (3) Draw the graph of and find the value of.Free online graphing calculator - graph functions, conics, and inequalities interactively The first step in graphing an inequality is to draw the line that would be obtained, if the inequality is an equation with an equals sign. The next step is to shade half of the gra...y = x2 − 16 y = x 2 - 16. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−16) ( 0, - 16) Focus: (0,−63 4) ( 0, - 63 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −65 4 y = - 65 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. Algebra. Graph y=2^x. y = 2x y = 2 x. Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 y = 0. Horizontal Asymptote: y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math ...Algebra. Asymptotes Calculator. Step 1: Enter the function you want to find the asymptotes for into the editor. The asymptote calculator takes a function and calculates all asymptotes and also graphs the function. The calculator can find horizontal, vertical, and slant asymptotes. Step 2: Nov 5, 2016 ... how do you graph y=x+2 Video instruction on how to graph the equation y=x+2.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ...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. The first step in creating a bar graph i...Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Loading... Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ... Y=X^2 Transformations. Save Copy. Log InorSign Up. y = a bx − h ...Graph f(x)=2. Step 1. Rewrite the function as an equation. Step 2. ... Step 2.3. The slope of the line is the value of , and the y-intercept is the value of . Slope: Graphs are beneficial because they summarize and display information in a manner that is easy for most people to comprehend. Graphs are used in many academic disciplines, including...In this video we'll draw the graph for x = 2. It is easiest to think of x=2 as being a line where all the values of y are 2 That means for any value of y, ...Look at the graph of the polynomial function [latex]f\left(x\right)={x}^{4}-{x}^{3}-4{x}^{2}+4x[/latex] in Figure 11. The graph has three turning points. Figure 11. This function f is a 4 th degree polynomial function and has 3 turning points. The maximum number of turning points of a polynomial function is always one less than the degree of ...(1) Draw a graph of y. = x2 and find the value of. (2) Draw the graph of y = 2x2 and find the value of. (3) Draw the graph of and find the value of.Example 1: recognise the equation of a circle. Identify the correct equation for the graph: Identify an x 2x2 term and a y 2y2 term. The equation y = x 2 + 6y = x2 + 6 only has an x 2x2 term and is a quadratic function. The equation y = x 2 + 12y = x2 + 12 only has an x 2x2 term and is also a quadratic function.y = x2 − 2x − 3 y = x 2 - 2 x - 3. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (1,−4) ( 1, - 4) Focus: (1,−15 4) ( 1, - 15 4) Axis of Symmetry: x = 1 x = 1. Directrix: y = −17 4 y = - 17 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. x y 0 0 1 0.35 1 - 0.35 2 0.5 2 - 0.5. Graph the parabola using its properties and the selected points. Direction: Opens Right. Vertex: (0, 0) Focus: ( 1 32, 0) Axis of Symmetry: y = 0. Directrix: x = - 1 32. x y 0 0 1 0.35 1 - 0.35 2 0.5 2 - 0.5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics ...The graph of \(f(x)=56-x-x^{2}\) in the “standard” viewing window. As the graph draws, observe that the graph rises from the bottom of the screen, leaves the top of the screen, then returns, falling from the top of the screen and leaving again at the bottom of the screen. This would indicate that there must be some sort of “turning point ...Shift the graph of f(x) = bx up d units if d is positive, and down d units if d is negative. State the domain, ( − ∞, ∞), the range, (d, ∞), and the horizontal asymptote y = d. Example 4.2.2: Graphing a Shift of an Exponential Function. Graph f(x) = 2x + 1 − 3 . State the domain, range, and asymptote. Solution.Graph f(x)=2. Step 1. Rewrite the function as an equation. Step 2. ... Step 2.3. The slope of the line is the value of , and the y-intercept is the value of . Slope: Draw the graph of the parabola y = x2 +3x−4 and hence use it to solve x2 +3x −4 = 0. Draw the graph of y =x2 +3x−4 and hence solve x2 +3x−4 = 0. (1) Draw a graph of y = x 2 and find the value of. (2) Draw the graph of y = 2x 2 and find the value of. (3) Draw the graph of and find the value of.1 2 3 = ans , ( ) 0 . Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! To find the x -intercepts, we can solve the equation f ( x) = 0 . The x -intercepts of the graph of y = f ( x) are ( 2 3, 0) and ( − 2, 0) . Our work also shows that 2 3 is a zero of multiplicity 1 and − 2 is a zero of multiplicity 2 . This means that the graph will cross the x -axis at ( 2 3, 0) and touch the x -axis at ( − 2, 0) .Describe how the graph of the function f(x) = -x^2 - 4 can be obtained from one of the basic graphs. a) Describe how the graph of y = x^2 can be transformed to the graph of the given equation y = (x - 4)^2 - 8. b) Describe how the graph of y = x^2 can be transformed to the graph of the given equation y = (-x)^2. Find the slope of the graph of ...In this video we'll draw the graph for y = x^2 + 1 using a table of values .First, we will use a table of values to plot points on the graph. Once we have tw...Step 2: Click the blue arrow to submit. Choose "Find the Tangent Line at the Point" from the topic selector and click to see the result in our Calculus Calculator ! Examples . Find the Tangent Line at (1,0) Popular Problems . Find the Tangent Line at the Point 2 x 2 + y 2 = 12, (2,-2) Find the Tangent Line at the Point y = 7 x x + 4, (3, 3)Are you in need of graph paper for your math homework, engineering projects, or even just for doodling? Look no further. In this comprehensive guide, we will explore the world of p...Precalculus. Graph x=-2. x = −2 x = - 2. Since x = −2 x = - 2 is a vertical line, there is no y-intercept and the slope is undefined. Slope: Undefined. y-intercept: No y-intercept. Find two points on the line. x y −2 0 −2 1 x y - 2 0 - 2 1. Graph the line using the slope, y …A horizontal translation 60 is a rigid transformation that shifts a graph left or right relative to the original graph. This occurs when we add or subtract constants from the \(x\)-coordinate before the function is applied. For example, consider the functions defined by \(g(x)=(x+3)^{2}\) and \(h(x)=(x−3)^{2}\) and create the following tables:The graph of \(f(x)=56-x-x^{2}\) in the “standard” viewing window. As the graph draws, observe that the graph rises from the bottom of the screen, leaves the top of the screen, then returns, falling from the top of the screen and leaving again at the bottom of the screen. This would indicate that there must be some sort of “turning point ...Free x intercepts calculator - find function's x-axis intercepts step-by-step. Graphs display information using visuals and tables communicate information using exact numbers. They both organize data in different ways, but using one is not necessarily better ...Step 2: Click the blue arrow to submit. Choose "Find the Tangent Line at the Point" from the topic selector and click to see the result in our Calculus Calculator ! Examples . Find the Tangent Line at (1,0) Popular Problems . Find the Tangent Line at the Point 2 x 2 + y 2 = 12, (2,-2) Find the Tangent Line at the Point y = 7 x x + 4, (3, 3)Algebra. Graph y^2=x^2. y2 = x2 y 2 = x 2. Graph. y2 = x2 y 2 = x 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.So x equals negative 1 is right over here. x is equal to negative 1. And our function graph is right at 6 when f is equal to negative 1. So we can say that f of negative 1 is equal to 6. Let me write that over here. f of negative 1 is equal to 6.Dec 16, 2010 ... Worked problem in calculus. The graph of f(x) = x^2 e^{-x} is derived from the first and second derivatives.y = 4x - x2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (2, 4) Focus: (2, 15 4) Axis of Symmetry: x = 2. Directrix: y = 17 4. Select a few x values, and plug them into the equation to find the corresponding y values.In this video we'll draw the graph for x = 2. It is easiest to think of x=2 as being a line where all the values of y are 2 That means for any value of y, ...An interval on a graph is the number between any two consecutive numbers on the axis of the graph. If one of the numbers on the axis is 50, and the next number is 60, the interval ...How to graph your problem. Graph your problem using the following steps: Type in your equation like y=2x+1. (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph! Calculus. Graph e^ (-x^2) e−x2 e - x 2. Find where the expression e−x2 e - x 2 is undefined. The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The vertical asymptotes occur at areas of infinite discontinuity. No Vertical ... Precalculus. Graph x=-2. x = −2 x = - 2. Since x = −2 x = - 2 is a vertical line, there is no y-intercept and the slope is undefined. Slope: Undefined. y-intercept: No y-intercept. Find two points on the line. x y −2 0 −2 1 x y - 2 0 - 2 1. Graph the line using the slope, y …The graph has 2 \(x\)-intercepts each with odd multiplicity, suggesting a degree of 2 or greater. The graph has 3 turning points, suggesting a degree of 4 or greater. Graph of an even-degree polynomial. Conclusion: the degree of the polynomial is even and at least 4. Try It \(\PageIndex{15}\)y2 − x2 1 = 1 y 2 - x 2 1 = 1. This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola. (y−k)2 a2 − (x−h)2 b2 = 1 ( y - k) 2 a 2 - ( x - h) 2 b 2 = 1. Match the values in this hyperbola to those of the standard form. The variable h h represents the x-offset from the ...The first is the function f(x) = a f ( x) = a, where a a is any number. This means that regardless of what x x is, the output is always the same. The result is a horizontal line at the height of a a since the y y components are all equal to a a. Example 2.4.4 2.4. 4. Graph the function f(x) = 2 f ( x) = 2.Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... Calculus. Graph y = square root of 49-x^2. y = √49 − x2 y = 49 - x 2. Find the domain for y = √49 −x2 y = 49 - x 2 so that a list of x x values can be picked to find a list of points, which will help graphing the radical. Tap for more steps... Interval Notation: graph{x^2 [-10, 10, -5, 5]} #y=x^2+2# is a parabola shifted/transated two units upwards since 2 is being added to the whole equation. The vertex is at (0,2) now. graph{x^2+2 [-10, 10, -5, 5]} You can always plug in values to plot if you'e unsure about the rules of transformations, but they are summarized below. Here we had +2 to y so the …To find oblique asymptotes, the rational function must have the numerator's degree be one more than the denominator's, which it is not. So, there are no oblique asymptotes. Summing this …y = x2 − 3 y = x 2 - 3. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−3) ( 0, - 3) Focus: (0,−11 4) ( 0, - 11 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −13 4 y = - 13 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. Graph f( x ) = ∛ (x - 2) and find the range of f. Solution to Example 2 The domain of the cube root function given above is the set of all real numbers. It easy to calculate ∛ (x - 2)if you select values of (x - 2) as -8, -1, 0, 1 and 8 to construct a table of values then find x …Free online graphing calculator - graph functions, conics, and inequalities interactively.Jun 4, 2015 · Graph the parent quadratic (y = x^2) by creating a table of values using select x values. - The graph of this parent quadratic is called a parabolaNOTE: Any... Given a function f(x), a new function g(x) = f(x) + k, where k is a constant, is a vertical shift of the function f(x). All the output values change by k units. If k is positive, the graph shifts up. If k is negative, the graph shifts down. Example 2.3.1: Adding a Constant to a …End Behavior of a Function. The end behavior of a polynomial function is the behavior of the graph of f (x) as x approaches positive infinity or negative infinity.. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.. The leading coefficient is significant compared to the other coefficients in the function for the …The Integral Calculator supports definite and indefinite integrals (antiderivatives) as well as integrating functions with many variables. You can also check your answers! Interactive graphs/plots help visualize and better understand the functions. For more about how to use the Integral Calculator, go to "Help" or take a look at the examples.It is added to the x -value. For horizontal shifts, positive c values shift the graph left and negative c values shift the graph right. y=f (x)+2 y = f (x) + 2 produces a vertical translation, because the +2 is the d value. It shifts the entire graph up for positive values of d and down for negative values of d.Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Untitled Graph. Save Copy Log InorSign Up. f x = 1 x − 1 2 2 − ... Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Transcript. Question 37 [Case Based] In an elliptical sport field the authority wants to design a rectangular soccer field with the maximum possible area. The sport field is given by the graph of 𝑥^2/𝑎^2 +𝑦^2/𝑏^2 =1Based on the above information answer the following questions. Question 37 (i) If the length and the breadth of the ... | Ceddybd (article) | Mlsqin.