The graph of an equation is symmetric with respect to the__________ if substituting -y for y in the equation results in an equivalent equation.

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

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Q: The x-coordinate of a point where a graph crosses the x-axis is called a/an------------------------…

A: The x-coordinate of a point where a graph crosses the x-axis is called a/an x - intercept . The…

Q: The center is (-2, 4) and the circle is tangent to the I-axis. (Informaly, a line is tangent to a…

A: Given that: Centre is (-2, 4).Circle is tangent to x-axis.

Q: To test whether the graph of an equation is symmetric withrespect to the origin, replace in the…

A: To test whether the graph is symmetric about origin  We need to replace x by -x and y by -y and…

Q: (a) Use a graphing device to graph the equation in a appropriate viewing rectangle. (b) Use the…

A: Consider the equation, y=x3-4x2-5x…

Q: ese graphs. Assume that all axes are-

A: To frame the equation of given graph , we find out the vertex Vertex is the minimum point on the…

Q: 1) The graph of the equation y=x is a A) straight line B) circle C) parabola D) point

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Q: Graph the equation by plotting points. y = - 1 ... Use the graphing tool on the right to graph the…

A: NOTE: Refresh your page if you can't see any equations. . the given line is  compare this line with…

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

A: Intercept are the point at which the graph passes through the x or y-axis. Symmetric when the same…

Q: Graph the given equation: y=-4x

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Q: The center is (6, 2) and the circle is tangent to the y-axis. (Informally, a line is tangent to a…

A:

Q: Question 1 of 12, Step 1 of 1 Find the slope and y-intercept of the following linear equation.…

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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: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph…

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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: Graph the given equation. First plot the solutions of the equation for the given values of x, and…

A: Graph the given equation.

Q: The center of a circle is in Quadrant III, the radius is 5, and the circle is tangent to both the x-…

A: Given: radius = 5. The center will be in QIII and have a tangent to both the x-axis and y-axis. So,…

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

A: Given-  To find-  (a) The intercepts.(b) Indicate whether the graph is symmetric with respect to…

Q: 1. у%3D2 — г3 = x 3. f(x) = V1 – x4

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Q: determine the type(s) of symmetry (symmetry with respect to the x axis, y axis, and/or origin)…

A: Given: y =-4x2-2

Q: The center of a circle is in Quadrant III, the radius is 7, and the circle is tangent to both the x-…

A: The standard form of the equation of circle is  x-h2+(y-k)2=r2 where (h, k) is the center of circle…

Q: Rotate the axes so that the new equation contains no xy-term. Analyze the graph the new equation

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Q: The graph of y=f(x) is shown below. Write an equation for each of the given graphs that reflects the…

A: Given graph of y=f(x)

Q: Question 1 (20 points) Find the x-intercept and the y-intercept of the graph of the equation 6x + 2y…

A: Given equation of the line - 6x+2y = 11We have to find out x and y intercept.For x-intercept, y =…

Q: Graph the given equation. First plot the solutions of the equation for the given values of x, and…

A: We first make a table for the given values of x.We plgu the values of x in y=2x-3 and find y.

Q: Find any intercepts and test for symmetry. Then sketch the graph of the equation x = y2 − 1.

A: Definition of the intercepts and symmetry helps to find the required intercepts. The value of x…

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

A: Given :            The graph of an equation.   a) To find the intercepts. b) To determine whether…

Q: Yes or No? If No, give a reason. If the graph of an equation is symmetric with respect to both the…

A: Explanation : If the graph of an equation is symmetric with respect to x− axis, and point (a, b)…

Q: The graph C of the equation y = gives the course taken by an oil tanker after leaving port, which is…

A: Here we have to find the arc length.

Q: Select all of the coordinate points that are solutions to the graph shown. SELECT ALL THAT APPLY.*

A: Identify the coordinates on which the given line is passing.

Q: Given the graph: ot 구 -10 -R 10 7 Write an equation in the form f(x) = A cos(Bx – C') + D.

A: the given graph is: we have to write the equation of the given graph in the form fx=Acos(Bx-C)+D

Q: Construct the graph of the equation given by solving for the intercepts.  Show all of the steps in…

A: Given:   The equation is x+2y = -2   y = mx+b is the slope intercept form of a line where m is the…

Q: Graph the given equation. First plot the solutions of the equation for the given values of x, and…

A: Explanation and solution is given below....

Q: DRAG AND DROP THE CORRECT EQUATION FOR EACH GRAPH INTO THE WHITE BOXES. NOT ALL OF THE PIECES WILL…

A: We have to write the equations of corresponding graphs.

Q: Graph the given equation. First plot the solutions of the equation for the given values of x, and…

A: Given, y=3x-3 Therefore, @x=-1, y=3(-1)-3 = -6 @x=0, y=3(0)-3 = -3 @x=1, y=3(1)-3 = 0 @x=2, y=3(2)-3…

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

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

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

A: The graph which is given by:

Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: a) y = --1 - 1

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Q: Question 2 of 10 The graph of y= -2x + 10 is: A. a point that shows one solution to the equation. B.…

A: we have given  y = -2x + 10 we can see that it is in the form of equation of line y = mx + c  So it…

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

A: Given: The graph:

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

A: a). The curve meets the x-axis at x=-2, 2. Therefore x-intercepts are -2, 0 & 2, 0. The curve…

Q: The center is  (3,4)  and the circle is tangent to the  x -axis. (Informally, a line is tangent to…

A: Given  Center -  (3,4) X-axis is tangent to the circle.

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

A: (a) To plot the graph of function y=x3-x2, follow some steps. Insert the function Y1=x3-x2 in…

Q: Plot the intercepts to graph the equation. 3x-4y-12 Use the graphing tool to graph the equation. Use…

A: Intercept of a line can be estimated from the equation of a line in the form - xa+yb = 1…

Q: Slope-Intercept Form 1) Graph the equation y = x - 8

A: To graph the given equation

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: (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: x2 Graph the equation y plot 5 points including the roots and the vertex. 8x + 15 on the…

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.