# How do you write the equation of a hyperbola in standard form given Foci: (3,+-2) and Asymptotes: y = +-2(x-3)?

##### 1 Answer

Oct 31, 2016

The equation of the hyperbola is

#### Explanation:

The standard equation of a hyperbola is

The slopes of the asymptotes are

so

The foci are

So

and

So from the eqautions

Therefore

And

So the equation of the hyperbola is