# How do you graph #y^2-9x^2=9# and identify the foci and asympototes?

##### 1 Answer

Nov 22, 2016

The foci are F

The equations of the asymptotes are

#### Explanation:

Let's rewrite the equation as

This is the equation of an up-down hyperbola.

The general equation is

The center is

The vertices are

The slope of the asymptotes are

The equations of the asymptotes are

To determine the foci, we need c,

So,

And the foci are F

graph{(y^2/9-x^2-1)(y-3x)(y+3x)=0 [-12.66, 12.65, -6.32, 6.34]}