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. x2 + y2 = 100

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: Identify the graph of the given equation. x2+5y2=25

A: x2+5y2=25⇒x2+5y225=1⇒x225+5y225=1⇒x225+y25=1⇒x252+y252=1

Q: Determine if the graph of x2 + y3 = 7 is symmetric with respect to the y-axis, the x-axis, the…

A: Given equation is To check the symmetry about y-axis, replace x by -x , if the equation remains…

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

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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: 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…

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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: 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: Find the x- and y-intercepts of the graph of the following equation: y2 1 4 x² 9. ||

A: The equation is a statement that consists of equal symbol between two algebraic expressions. The…

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

A: Consider the following equation:

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: Determine whether the graph of the equation 2x3 - xy2 = 4 is symmetric with respect to the x-axis,…

A: 2x3+xy2=4

Q: Find an equation for the set of points equidistant from the point (0, 0, 2) and the x-axis.

A: To determine the equation for the set of the points.

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: Identify the graph of the given equation. x2 - y2 - 4 = 0

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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: For the equation below, determine whether its graph is symmetric with respect to the x-axis, the…

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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: Find the equation of the graph of all points which are three times as far from A(3, – 1,2) as far…

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Q: Determine if the graph of the equation | x | + y2 = 9 is symmetric with respect to the x-axis…

A: Tests for each of the different types of symmetry are:A graph will have symmetry about the x-axis if…

Q: Determine whether the graph of equation x2 + y2 = 49 is symmetric with respect to the y-axis, the…

A: Given equation: x2+y2=49 Testing of symmetry rules: X-Axis symmetry: In the equation, replace y with…

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 given equation is symmetric with respect to the y-axis, the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

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: 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: 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: 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 equation x3 - y2 = 5 is symmetric with respect to the y-axis, the…

A: Given, x3-y2=5

Q: find an equation of the graph that consists of all points (x,y) having the given distance from the…

A: Given, the distance of the point (x , y) from the origin is twice the distance from (0,6).Therefore…

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: Without​ graphing, determine whether the following equation has a graph that is symmetric with…

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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: Without​ graphing, determine whether the equation has a graph that is symmetric with respect to the​…

A:

Q: Determine whether each of the following points is on the graph of the equation 2x - y = 6. (a) (2,…

A: To determine whether each of the following points is on the graph of the equation: 2x-y=6. a)(2,3)…

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

A: Considering the given equation:→ y=x2-2 -(i)Our Aim is to determine whether the graph of equation is…

Q: graph the following equations. Label the x and y intercepts on the graph. y = -3x + 1

A: Given equation is:y=-3x+1 Given equation is a linear equation in x and y.and we know graph of a…

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: 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…

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

A: Here We have to determine whether the graph of the given equation is symmetric with respect to the…

Q: Determine whether the graph of y = x2 - 1 is symmetric with respect to the y-axis, the x-axis, or…

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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.