Using a directrix of y = 5 and a focus of (4, 1), what quadratic function is created?

a
f(x) = one fourth (x − 4)2 − 3

b
f(x) = one eighth (x + 4)2 − 3

c
f(x) = −one eighth (x − 4)2 + 3

d
f(x) = −one fourth (x + 4)2 − 3