# How do you find the vertex, focus, and directrix of a parabola #(y-9)^2 = -8(x+5)#?

##### 1 Answer

Apr 17, 2015

**A Guide**

If you got a parabola in the form

Then

Focus is

and directrix is the line

**Solution to problem**

Vertex is

It can be seen by comparison with the general form that

Implying that,

Focus is

Directrix is

Verify on the graph

graph{sqrt(-8x-40)+9 [-6.75, 13.25, -4.24, 5.76]}