# How do you find all the critical points to graph #(x+3)^2/25-(y+5)^2/4=1# including vertices, foci and asymptotes?

##### 1 Answer

The vertices are

The equations of the asymptotes are

The foci are

#### Explanation:

Our equation is

This is the equation of a left to right hyperbola

The typical equation of a hyperbola is

The center is

The vertices are

The slope of the asymptotes are

The equation of the asymptotes are

So the equations are

In order to calculate the foci, we need

And the foci are

graph{(x+3)^2/25-(y+5)^2/4=1 [-20.91, 18.56, -13.78, 5.97]}