Determine whether the graph of the given equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of these, or none of these : y = x3 - 1

Q: Determine whether the graph of x = y2 - 1 is symmetric with respect to the y-axis, the x-axis, or…

A: We have given the function x = y2 - 1 If the graph of the function is symmetric with x-axis then for…

Q: Determine if the graph of the equation is symmetric to the y-axis, x-axis, origin, or none of these.…

A: Given function is

Q: Which of the following points are on the graph of y = x3 - 3x + 1?(a) ( - 2, - 1) (b) (2, 3) (c) (3,…

A: y=x3-3x+1 a). Put x=-2 in y=x3-3x+1, we get y=-23-3-2+1=-1 Therefore -2, -1 is on the graph of…

Q: Determine whether the graph of equation y = 2x + 3 is symmetric with respect to the y-axis, the…

A: y-axis: To find the symmetricity about the y-axis, we plug -x in place of x.  y=2(-x)+3 or y=-2x+3…

Q: Find the x- and y-intercepts of the graph of the equation y = x√(4 − x2).

A: The x intercept is the coordinate which could be found by substituting 0 in place of y and obtaining…

Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. y O y = 15 x 7x X

A:

Q: Determine whether the graph of the equation is symmetric with respect to the y-axis,the x-axis,the…

A:

Q: Find the equation and sketch the graph of the following line. The x-axis.

A: Given: x-axis We know that, The equation of the x-axis is x=c where c is constant The x-axis…

Q: The equation of the graph is y = avx – h+ k , where a= - h= and k=

A: Given the equation of the square root function y=ax-h+kGraph

Q: Determine whether the graph of the equation y = x2 + 8 is symmetric with respect to the y-axis, the…

A: Given equation y = x2 + 8

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A:

Q: Find the x- and y-intercepts on the given graph. 3 0.

A: The given graph is:

Q: Determine which of the given points are on the graph of the equation.

A: Given :            The equation y = x3 - 2x         Points: 0, 0 ; (1, 1) ; (1, -1)   To determine…

Q: Graph the equation y=−x2+14x−48y=−x2+14x−48 on the accompanying set of axes.

A: Here we graph the equation  y= -x^2 +14x -48

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: We have given the function; y2 = x2 + 6

Q: Sketch the graph of y=x+4 and give the exact coordinates for both the x-intercept and the…

A:

Q: . Find the x- and y-intercepts of the graph of y = x(x- 3)(x + 1).

A:

Q: Determine whether the graph of the equation is symmetric with respect to the y -axis, the x -axis,…

A: Given query is to find the axis of symmetry for the function.

Q: Sketch the graphs of each of the following equations.

A: The graph of the equation given is shown in the figure below.

Q: Determine whether the graph of equation y = x2 + 6 is symmetric with respect to the y-axis, the…

A: Given: y=x2+6 given equation is a equation of upward parabola as coefficient of x2 is positive now…

Q: Determine whether the graph of the below equation is symmetric with respect to the y-axis, the…

A: To test symmetry we have fellowing rules y axis : put x = -x  if the function is still equal to…

Q: Determine whether the graph of the equation is symmetric with respect to the x- axis, the y-axis,…

A: Given query is to find axis of symmetry.

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Rectangular Hyperbolas are hyperbolas in the form of xy=c, where c=any constant. The asymptotes are…

Q: Determine whether the graph of equation x = y2 - 2 is symmetric with respect to the y-axis, the…

A: Given: x=y2-2 for finding symmetry of given function we draw the graph of given expression and check…

Q: snip

A: Given that: y=x3-3x+1 To check the points (-2,-1) lies on the graph, Substitute x=-2, y=-1 in given…

Q: Determine whether the graph of equation x = y2 + 6 is symmetric with respect to the y-axis, the…

A: The given equation is x=y2+6. Replace x with -x and check the symmetry about y axis. -x=y2+6x=-y2+6…

Q: Determine whether the graph of the equation y = x3 - 1 is symmetric with respect to the y-axis, the…

A: Determine whether the graph of the equation y = x3 - 1 is symmetric with respect to the y-axis,…

Q: Determine whether each point lies on the graph of the given equation by substituting the point…

A: To whether each point lies on the graph of the given equation by substituting the point

Q: If the graph of an equation is symmetric with respect to the y-axis and - 4 is an x-intercept of…

A: Answer:(4,0)

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Given that the equation: y4=x3+6 Symmetry about x-axis The graph of the equation is symmetric about…

Q: Identify and sketch the graph of the given equation in R3 z = 1- ex

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x-axis,  y-axis,…

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: The given equation is  y2=x2 -2.

Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

A:

Q: Identify the graph of the given equation. x=-2y2

A: The given equation is x = -2y2. On comparing it with y2 = ±ax, we can see that a = -12. This is a…

Q: Make a table of values, and sketch a graph of the equation. xy = 2

A: Given equation xy=2

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Given: x2+y2=49 we know that given equation is equation or circle whose center is 0,0 and radius is…

Q: Determine whether the graph of equation y = 2x + 5 is symmetric with respect to the y-axis, the…

A: We have to determine whether the graph of equation y = 2x + 5 is symmetric with respect to the…

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Solution:- The graph is  x3-y2=5 we have to test either the graph is symmetrical about y-axis,…

Q: Determine whether the graph of the equation is symmetric with respect to the y-axis, the x-axis, the…

A: Given function is y=6x+7

Q: Make a table of values for the equation. x + y² = 9 X Sketch a graph of the equation. у -2 -1 0 1 2

A: Substitute y=-2 in x+y2=9 and calculate the value of x.       x+y2=9x+-22=9       x+4=9…

Q: Determine whether the graph of equation y = x2 - 2 is symmetric with respect to the y-axis, the…

A: Graph of a function: We need to draw the graph of the function y=x2-2

Q: determine whether the graph of each equation is symmetric with respect to the y-axis, the x-axis,…

A: x2 +y2=17Center =(0,0), radius =17

Q: Use the related graph of each equation to determine its solutions. 14. x? + 4x = 0 15. -2r? – 4x – 5…

A:

Q: Match each equation with its graph in a–f.; z2 - y2 - x2 = 1

A: Given: z2−y2−x2=1

Q: Use a graphing utility to graph the equation x2 + 4xy + y2 - 3 = 0.

A: Given,  x2 + 4xy + y2 - 3 = 0

Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the…

A: Given function is y=x2+6. To determine whether the graph of the given equation is symmetric with…

Q: Make a table of values, and sketch a graph of the equation. 4y = -x2

A: Given: 4y=-x2

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.