Question

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

vertex at (–3, 0) and co-vertex at (0, 2)

Answer 1

Hi :)
Whenever you have an ellipse centred around the origin (0 , 0) and
with a vertex (or co-vertex) at (a , 0)
and a co-vertex (or vertex) at (0 , b)
the equation of your ellipse is given by this formula...
\[\huge \frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]