# How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #4x^2-25y^2-8x-96=0#?

##### 1 Answer

The vertices are

The equations of the asymptotes are

The foci are

#### Explanation:

The equation is

Dividing by 100

This is the standard equation of a left right hyperbola

so, the center is

the vertices ae

and

The slopes of the asymptotes are

And the equations of the asymptotes are

To determine the foci, we need

So the foci are

and