# How do you find the standard form given vertices (-6, -2) and (6,-2) and foci of (-8, -2) and (8, -2)?

##### 1 Answer

There are two standard forms for hyperbolas:

Where

#### Explanation:

Because the vertices have the same y coordinate but different x coordinates, we know that we must use equation [1].

For equation [1] here are the general formulas for the vertices are:

Substitute -6 for

It is obvious that

Substitute these values into equation [1]:

For equation [1] here are the general formulas for the foci are:

Substitute 8 for

Solve for b:

Substitute this into equation [3]:

Equation [4] is the answer.