SOLUTION: An ellipse has a vertex at (0, -5), a co-vertex at (�3, 0), and a center at the origin. Which is the equation of the ellipse in standard form?

Question 1119190: An ellipse has a vertex at (0, -5), a co-vertex at (�3, 0), and a center at the origin. Which is the equation of the ellipse in standard form?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Center at the origin and one vertex (0,-5) means the other vertex is (0,5).

Center at the origin and one co-vertex at (-3,0) means the other co-vertex is at (3,0).

So the major axis is in the y direction, and the length of the semi-major axis is 5; the minor axis is in the x direction, and the length of the semi-minor axis is 3.

The standard form for an ellipse with center (0,0), semi-major axis 5 in the y direction, and semi-minor axis 3 in the x direction, is

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