Posted by **Jon** on Thursday, August 6, 2009 at 6:20pm.

Identify the equation of a parabola whose focus is at (5,-1) and whose directrix is x=3.

vertex=(-5,-1)

p=-6

4p=-24

(x-5)=(-24)(y+1)^2

I got it wrong

- Math -
**MathMate**, Thursday, August 6, 2009 at 6:35pm
Hint:

The focus is at (5,-1), and the directrix is at x=3, so the vertex lies halfway between the two.

The value of p is the distance between the vertex and the focus.

Wiki has an excellent article on the subject.

http://en.wikipedia.org/wiki/Parabola

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