Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics:

Question

Vertex (-3,0) and co-vertex (0,2)

Answer 1

You have vertex at a horizontal distance of 3, so a=3
you have co-vertex at a vertical distance of 2, so b=2

Thus, your equation is

x^2/9 + y^2/4 = 1

Answer 2

X^2/9+y^2/4=1