# How do you find the vertices, asymptote, foci and graph #y^2/25-x^2/16=16#?

##### 1 Answer

Feb 22, 2017

Vertices:

Asymptotes:

Foci:

#### Explanation:

First put the hyperbola in standard form when the largest denominator is under the

Multiple all terms by

Center:

Vertices:

Asymptotes:

Foci:

To graph:

- Create a box centered around the center that is length
#a# vertically above and below the center and length#b# horizontally above and below the center (use dashed lines). - Sketch the asymptote lines (use a dashed line).
- Place dots at the vertices and foci.
- Sketch a curve from each vertex, staying inside of the asymptote lines.

Graphing Hyperbolas