Posted by **Abbey** on Tuesday, May 4, 2010 at 10:02pm.

Find the vertex, focus and directrix of the parabola.

4x - y^2 - 2y - 33 = 0

y^2+2y+1 = -4x+33+1

(y+1)^2 = -4(x+8.5)

vertex:(-1,-8.5)

focus:(-2,-8.5)

Directrix: x=0

Is this correct?

- Math -
**Damon**, Tuesday, May 4, 2010 at 10:18pm
y^2 + 2 y = 4 x - 33

y^2 + 2 y + 1 = 4 x - 32

(y+1)^2 = 4 (x-8)

(8,-1) is the vertex etc.

opens right, a = 4

vertex to focus = 4 so focus at (12,-1)

vertex to directrix = 4 so directrix at x = 4

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