Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1

Derive the equation of the parabola with a focus at (_5, 5) and a directrix of y = -1.

a. f(x) = _one twelfth (x _ 5)2 + 2
b. f(x) = one twelfth (x _ 5)2 + 2
c. f(x) = _one twelfth (x + 5)2 + 2
d. f(x) = one twelfth (x + 5)2 + 2