# How do you graph an ellipse written in standard form?

The standard form of the ellipse is ${x}^{2} / {a}^{2} + {y}^{2} / {b}^{2} = 1$.
The easiest way to graph it, is to make a rectangle, centered in the origin, having the horizontal sides with the lenght of $2 a$ and the vertical sides with the lenght $2 b$.
The points $\left(a , 0\right) , \left(0 , b\right) , \left(- a , 0\right) , \left(0 , - b\right)$ are the four vertices of the ellipse.