Question

Write the equation of the ellipse that has its center at the origin with focus at (0,4) and vertex (0,7).

Answer 1

1) Notice that, in this case, the center is at (0,0) the focus at (0,4) and the Vertex is at (0,7)

2) Since the focus is at the y-axis, and the center is at the origin we can start from the following formula: