# How do you find the foci and sketch the hyperbola #9y^2-x^2=4#?

##### 1 Answer

Please read the explanation.

#### Explanation:

The standard form for a hyperbola of this type is:

where, x and y correspond to any point

Given:

We will be using algebraic steps to put the above equation into the standard form.

Divide both sides by 4 in the form of

Write the 9 as

Group the denominator of the first term into a single fraction:

The foci are located at

To help you sketch the hyperbola, the center is

There is a graph of the original equation: