Question

identify the coordinates of the co - vertices of the ellipse shown in the figure above.

Explanation:

Step1: Recall co - vertices definition

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

Step2: Observe the ellipse

The ellipse is centered at the origin $(0,0)$. The minor axis lies on the y - axis.

Step3: Determine the co - vertices

The points where the ellipse intersects the y - axis are $(0,4)$ and $(0, - 4)$.

Answer:

$(0, 4)$ and $(0,-4)$