Answer:
y = 1/4(x + 1)^2 + 3.
Step-by-step explanation:
The general form is (x - h)^2 = 4p(y - k) where the focus is (h, k+p) and the directrix is y = k-p
So we have h = -1
k + p = 4
k - p = 2 Adding:
2k = 6 so k = 3 and p = 1.
Therefore:
(x + 1)^2 = 4(y - 3)
4y = (x + 1)^2 + 12
y = 1/4(x + 1)^2 + 3.
