Derive the equation of the parabola with a focus at (-5, 5) and a directrix of y = - 1.
A. f (x) = - 1/12 (x - 5) ^2 + 2
B. f (x) = 1/12 (x - 5) ^2 + 2
C. f (x) = - 1/12 (x + 5) ^2 + 2
D. f (x) = 1/12 (x + 5) ^2 + 2
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