# How do you write the equation of the hyperbola given Foci: (0,-8),(0,8) and vertices (0,-5), (0,5)?

##### 1 Answer

Mar 14, 2017

Equation of hyperbola is

#### Explanation:

As the focii and vertices are symmetrically placed on

its center is

As the distance between center and either vertex is

and as distance between center and either focus is

As

and equation of hyperbola is

graph{y^2/25-x^2/39=1 [-40, 40, -20, 20]}