# How do you find all the critical points to graph #25x^2- 4y^2=100# including vertices, foci and asymptotes?

##### 1 Answer

Jan 1, 2017

The center is

The vertices are

The equations of the asymptotes are

The foci are

#### Explanation:

Let's divide throughly by

This is a hyperbola whose general equation is

The center is

The vertices are

and

The asymptotes are obtained from the equation

The equations of the asymptotes are

We calculate

The foci are

graph{(x^2/4-y^2/25-1)(y-5/2x)(y+5/2x)=0 [-6.24, 6.244, -3.12, 3.12]}