# How do you find all the critical points to graph #(x + 2)^2/4 - (y - 5)^2/25 = 1 # including vertices, foci and asymptotes?

##### 1 Answer

Jul 30, 2018

Please see the explanation below

#### Explanation:

The equation of a hyperbola with a horizontal transverse axis is

Our equation is

The center is

The vertices are

and

The foci are

and

The asymptotes are

graph{((x+2)^2/4-(y-5)^2/25-1)((y-5)/5-(x+2)/2)((y-5)/5+(x+2)/2)=0 [-12.25, 7.75, 0.2, 10.2]}