# How do you find the vertex, focus, and directrix of a hyperbola # (y-2)^2 - (x^2)/4 = 1#?

##### 1 Answer

The vertices are at (

The foci are at (

The directrixes are at

#### Explanation:

The standard form of the equation for a hyperbola with a vertical transverse axis is

Your equation is

So

**Direction**

The negative sign in front of the

Your graph will look like the one below.

(from www.shmoop.com)

**Vertices**

The coordinates of the vertices are (

So your hyperbola has vertices at (

**Foci**

The coordinates of the foci are (

So the foci are at (

**Directrixes**

The equation for the directrixes is

Your hyperbola looks like this:

(generated by www.wolframalpha.com)