Question

Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1.

f(x) = −one twelfth (x − 5)2 + 2
f(x) = one twelfth (x − 5)2 + 2
f(x) = −one twelfth (x + 5)2 + 2
f(x) = one twelfth (x + 5)2 + 2

Answer 1

First, lets draw the parabola with the given focus and directrix. Any ideas how?

Answer 2

the top of the parabola is the focus and the dotted line is on the y axis using the directrix

Answer 3

Can you draw it?