Question

Write an equation of the ellipse with the given characteristics and center at (0,0)
Vertex: (3,0)
Co-vertex: (0,-2)

Answer 1

If the vertex is (3,0), then a = 3 and x^2=9
If the co-vertex is (0,-2) then b = 2 and b^2=4
So the equation must be:
\[\frac{x^2}{9}+\frac{y^2}{4}=1\]