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)

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)

terenzreignz · Answer

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...
$$\huge \frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$