# How do you write a standard form equation for the hyperbola with foci at (3,11) and (3,-5) and vertices at (3,7) and (3,-1)?

##### 1 Answer

Dec 26, 2017

#### Answer:

#### Explanation:

The midpoint of the segment connecting the vertices (or the foci) is the center,

The distance from the center to a focus is

The distance from the center to a vertex is

In a hyperbola we have the relationship

Since the vertices are on the same vertical line,

We can fill in to get: