# How do you find all the critical points to graph #(x/2)^2 - (y/3)^2 = 1# including vertices, foci and asymptotes?

##### 1 Answer

Oct 19, 2016

All the answers are below

#### Explanation:

Th graph{x^2/4-y^2/9=1 [-10, 10, -5, 5]} is is a hyperbola

The center is

The vertices are

The slopes of the asymptotes are

The equations of the asymptotes are

To determine the foci, we calculate,

So the foci are