# How do you write an equation for the hyperbola with vertices (0,2) and (0,-2) and foci at (0,9) and (0,-9)?

##### 1 Answer

May 11, 2016

#### Answer:

#### Explanation:

Center C bisects the line joining the vertices

So C is at the origin.

The distance between the vertices is the transverse axis 2a = 4.

So, a = 2.

The distance between the foci = 2a X eccentricity (e).

So, 4e = 18. e = 9/2.

The semi-transverse axis

So,

Now, the equation of the hyperbola takes the standard form