Question

HELP PLEASE! I NEED ANSWERS!
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1.

Answer 1

@Hero

Answer 2

@cwrw238

Answer 3

you know what this looks like?

Answer 4

vertex is half way between the focus and the directrix, namely at \((-5,2)\)

Answer 5

that means it looks like
\[4p(y-2)=(x+5)^2\]and all you need is \(p\) the distance between the focus and the vertex, which is 3

Answer 6

final answer
\[12(y-2)=(x+5)^2\]

Answer 7

check the answer here
http://www.wolframalpha.com/input/?i=parabola+12%28y-2%29%3D%28x%2B5%29^2