# How do you find the coordinates of the vertices, foci, and the equation of the asymptotes for the hyperbola #(y-3)^2/25-(x-2)^2/16=1#?

##### 1 Answer

Oct 24, 2016

The vertices are

The foci are

The equations of the asymptotes are

and

#### Explanation:

Looking at the equation it's an up-down hyperbola

The center of the hyperbola is

The vertices are

The slope of the asymptotes ares

The equations of the asymptotes are

and

To calculate the foci, we need

The foci are