Using a directrix of y = −2 and a focus of (1, 6), what quadratic function is created?

(x-h)²=4p(y-k), the focus is (h, k+p), the directrix is y=k-p
in this case, h=1,  k+p=6, k-p=-2, so k=2, p=4
so the equation is (x-1)²=16(y-2)