# How do you write an equation for the hyperbola with Foci: #(0,0)# and #(0,4)# Asmyptotes: #y= +-1/2x + 2#?

##### 1 Answer

Jun 3, 2018

**Equation of vertical hyperbola is**

#### Explanation:

Focii of hyperbola is at

Center of the hyperbola is at

So transverse axis is vertical , and equation of asymptotes

of vertical hyperbola are

Asymptotes:

We know

The standard form of equation of vertical hyperbola is

graph{5(y-2)^2/4-5 x^2/16=1 [-12.66, 12.65, -6.33, 6.33]}