Question

the graph shows an ellipse. what are its co - vertices?

Explanation:

Step1: Recall the definition of co - vertices

Co - vertices of an ellipse are the endpoints of the minor axis.

Step2: Locate the minor axis endpoints on the graph

Looking at the ellipse, the minor axis is horizontal. The leftmost and rightmost points of the ellipse (endpoints of the minor axis) are at \(x = - 4\) and \(x = 4\) with \(y=-3\) (since the center of the ellipse is at \((0,-3)\) and the minor axis is parallel to the \(x\) - axis).

Answer:

\((-4,-3)\) and \((4,-3)\)