# How do you identify the vertices, foci, and direction of #x^2/121-y^2/36=1#?

##### 1 Answer

Apr 10, 2017

Given the equation of a hyperbola with a transverse horizontal axis:

The vertices are:

The foci are:

#### Explanation:

Note: A horizontal transverse type has a positive x and a negative y term, in a form that is equal to 1, and a vertical transverse type has a negative x term and a positive y term, in a form that is equal to 1.

Given:

Write in the standard form:

Now, we can write the vertices by observation:

Compute

Now, we can write the foci with the same ease: