# How do you find the center, vertices, foci and asymptotes of # x^2/7 - y^2/9=1#?

##### 1 Answer

The graph should look like this:

graph{x^2/7-y^2/9=1 [-10, 10, -5, 5]}

#### Explanation:

Since we are subtracting, we know that this is a hyperbola. Also, since the fraction with

Therefore, equation is in the form

We know that:

Knowing this, we already know which equations to use:

The center is always

The vertices are

The foci are

Since this hyperbola opens sideways, the asymptotes are found by this formula:

Therefore, we know that the center is

The vertices are approximately

The foci are

The lines of asymptotes are