# How do you write a standard form equation for the hyperbola with vertices at (-2, 0) and (2, 0) and foci at (-6, 0) and (6, 0)?

##### 1 Answer

May 26, 2017

Because the vertices are horizontal, we know that the standard form is,

, the vertices are

and the foci are

#### Explanation:

Using the form of the vertices and the given vertices we can write the following equations:

Solving the first two equations we have:

Using the form of the foci and one of the given foci we can write:

Substitute in the known values for h and a:

Solve for b:

Substituting the know values into equation [1]:

Equation [2] is the answer.