# How do you write the equation of a hyperbola given center at the origin (0,0) and satisfies the given conditions: Foci F(0, -5) (0,5) and conjugate axis of length 4?

##### 1 Answer

Jul 23, 2018

The equation is

#### Explanation:

The general equation of a hyperbola is

The center is

The equation reduces to

The conjugate axis is

The equation is

The foci are

And

Therefore,

Therefore,

The equation is

graph{x^2/21-y^2/4=1 [-18.02, 18.02, -9.01, 9.02]}