EXAMPLE 3 Finding Intercepts and Testing an Equation for Symmetry For the equation y = x² – 4 :(a) find the intercepts and (b) test for symmetry. x + 1

Q: Part 2: On the graph below, graph the equations. Use your knowledge of slope intercept form to graph…

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Q: Find the vertex of the graph of the equation. y = x2 − x − 3

A: For a given quadratic y = ax2 + bx + c, the vertex (h, k) is found by computing h = –b/2a, and then…

Q: In Problem,the graph of an equation is given.(a) Find the intercepts.(b) Indicate whether the graph…

A: a. x- intercepts of the graph are -3,0 and 3,0. y-Intercepts of the graph are 0,3 and 0,-3.

Q: Find the x- and y-intercepts of the graph of the equation. y =  1 4x − 6

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Q: Identify the x- and y- intercepts, axis of symmetry and vertex.

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Q: EXAMPLE 2 Testing for Symmetry Determine whether the graph is symmetric with respect to the y-axis,…

A: Given,  x2+y2=9 To check the symmetricity w.r.t. the Y-axis, X-axis, or origin.

Q: (a) In the coordinate plane, what is the horizontal axis called and what is the vertical axis…

A: A two-dimensional surface is called  the coordinate plane or the Cartesian plane and the axes are…

Q: Graphing the Equation x = y? (a) Graph the equation x = y. Find any intercepts and check for…

A: 5-a) Given: The equation of a curve is, x=y2 The points on the given curve can be tabulated as,…

Q: Sketch the graph of the equation. y = (x + 2)2   Identify any intercepts. y-intercept      (x, y)…

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Q: An equation is given. (a) Use a graphing calculator to graph the equation in the given viewing…

A: An equation is given.                                y=1-x23; [-5,5] by-5,3 (a) Use a graphing…

Q: I'm having trouble understanding how to do this problem. I need to graph the equation y= -2 by…

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Q: Find the x- and y-intercepts of the graph of the equation.  x/2+y/6  = 1 x-intercept     (x, y) =…

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Q: Group Activity #2: How do you find on equation fron a groph? Your challenge in this situation is to…

A: We need to find equation of line.

Q: Find the x- and y-intercepts of the graph of the equation y = √x + 9 x-intercept y-intercept (x, y)…

A: y=x+9

Q: 2. A circle is centred at (0, 0) and passes through the point (-3, 7). Write the equation of the…

A: We have to find equation of Circle.

Q: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

A: Given: 6x+y2=36

Q: Use a graphing utility to graph the equation. Use a standard setting. y = x2 − 6x + 5 x-intercept…

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Q: 7. (6 points) Graph the equation using only the x and y- intercepts. 5x - 10y = 20 x-intercept:…

A: We have to draw the graph of the equation using x and y-intercepts for the given equation: 5x-10y=20…

Q: Find the x- and y-intercepts of the graph of the equation. Do not graph the line. 8x − 9y = 36…

A: Consider the following equation of line: 8x-9y=36                                   ...... 1…

Q: 3) Consider the equation y=f(x)= x² -8x +12 a) Find the axis of symmetry. b) Find the vertex. c)…

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Q: Test each equation for symmetry. Find the x- and y-intercept, and sketch a graph of the equation.…

A: Given: (a) x=4-y2 (b) y=|x-2|

Q: Rotate the axes to eliminate the xy-term in the equation.Then write the equation in standard form.…

A: We will find out the required equation.

Q: EXAMPLE 4 Graphing an Equation by Plotting Points Graph the equation by plotting points. y - |x| =…

A: Given equation is: y-x=-1 Re-arranging the terms we get, y=x-1 Then we get the table of x and y…

Q: Graphing an Equation by Plotting PointsGraph the equation: y = - 2x + 3

A: The given function is y = - 2x + 3

Q: (x-4)^2+(y-4)^2=16 Graph the circle.

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Q: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

A: Given equation is y=4x. (a) To test the equation for symmetry with respect to the x-axis, the y-axis…

Q: 7-92. Graph y = -1/2x + 6. Find its x- and y-intercepts.

A: Since you have asked multiple question, we will solve the one question for you. If youwant any…

Q: Identify the graph of y 3(x+2)(x +6). Then find the x-intercepts, the vertex, and the equation of…

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Q: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

A: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

Q: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

A: Given equation, 9x2-16y2=144 ----(1) a) To test the equation for symmetry with respect to the…

Q: (y-1)^2=2(x+1) 1. How do I solve this equation? 2. How do I find the vertex, x-intercepts, and…

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Q: Graphing an Equation in General Form Using Its InterceptsGraph the equation 2x + 4y = 8 by finding…

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Q: (a) In R°, what does the graph of the equation y = -3 look like? Illustrate with a sketch. (b) In…

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Q: Two towns are located at points A(2, -2) and B(8, 5). A new school is to be built on a straight road…

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Q: Consider the equation y = x3 + 3x? – x - 3. (a) Graph the equation in the viewing rectangle [-5, 3]…

A: we have,  y=x3+3x2-x-3

Q: Find the equation of the axis of symmetry and the vertex of its graph. f(x) = x2 + 4x − 1   (a) axis…

A: The function is f(x)=x2 + 4x − 1 To find the axis of symmetry and the vertex of its graph.

Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

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Q: Question: -2x+ -4y = 6 Show your work Identify the following key features: Vertex: x-intercepts: y-…

A: Answer is given in next step.

Q: (A) Graph y = 1.2x-2.7 in a rectangular coordinate system. (B) Find the x- and y-intercepts…

A: Here we have to plot the graph.

Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

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Q: 15–22 ■ Graphing Equations Sketch the graph of the equationby making a table and plotting points.

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Points of Intersection Find the coordinates of all points ofintersection of the graphs of

A: Given equations are: y=x4+x2+24xy=6x3+20 The points of intersection of the given equations are…

Q: 2. The graph of y = + 4x is shown below. Use the graph to solve the equation x + 4x = 0.

A: Sol: → Eqn :-                       Y = x2+4x

Q: Use a graphing utility to find the points of intersection of the graphs of the equations. Check your…

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Q: Find the x- and y-intercepts of the graph of the equation. y = 1/3x-5 x−intercept     (x, y) =…

A: Given equation: y=13x-5 To find the x- and y- intercept of the above equation. The x-intercept is…

Q: Find the x- and y-intercepts. x − y = 5 x-intercept     (x, y) =           y-intercept     (x, y)…

A: The given equation is: x-y=5

Q: -(a) How do you test whether the graph of an equation is symmetric with respect to the (i) x-axis,…

A: Given: xy2+y2x2=3x

Q: Sketch the graph of the line that passes through the point (7,5) and is parallel to the y-axis.…

A: Given point is 7,5. We have to draw the line which passes through given point and parallel to…

Q: (a) Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. (b) Find…

A: Given equation, x2+y-12=1                   ...(1)

Q: The graph of an equation is shown below.(a) The x-intercept(s) are , and the y-intercept(s)are .(b)…

A: x-intercept of y-intercept is the point at which the graph cuts the x-axis and y-axis respectively.