Question

Find an equation of the ellipse that has center (4,0), a minor axis of length 4, and a vertex at (4,-4)

Answer 1

(x-4)²/16 + y²/4 = 1

Explanation:

To find the equation of the ellipse, we need to determine the length of the major axis. Since the minor axis has length 4, and the vertex is at (4,-4), the distance from the center to the vertex is 4. Therefore, the major axis has length 8. Thus, the equation of the ellipse is

(x-4)²/16 + y²/4 = 1.