# How do you write an equation for a hyperbola with vertices (1, 3) and (-5, 3), and foci (3, 3) and (-7, 3)?

##### 1 Answer

The equation is:

#### Explanation:

Please notice that the vertices are of the forms:

The same information can be deduced from the foci, which have the forms:

The standard form for the equation of a hyperbola, where the vertices and foci have these properties, is the horizontal transverse axis form:

Compute h and a:

To complete the equation, we only need the value of b but, to find the value of b, we must, first, find the value of c:

Using the

Solve for b, using the equation