Which graph represents the following ellipse (z+1)ª + 16 (v-3)° 36 = 1?

Q: Write the equation of the ellipse in standard rectangular form that has foci at ( 2 , − 2 ) a n d (…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. Vertices:…

A: Here the vertices of the ellipse is with a constant x-coordinate. Therefore the given ellipse is…

Q: (y+3)² (x-2)² 4 1 + = 1

A: Given equation of an ellipse.

Q: Find the vertices and foci of the ellipse: 49x2 + 9y2 = 441(Round to the nearest tenth if…

A: For the standard form of ellipse x2a2+y2b2=1, vertices will be ±a, 0 or (0, ±b) as per a>b or…

Q: 4+y 2 -6 -5 -4 -3 -2 -1 1 2 3 4 -2 -3 -4 x? Identify a and b for the ellipse with equation y? = 1.…

A: We have to find

Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

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.