Question

What is the focus (y = a(x – h)^2 + k) of a parabola with a vertex at (12,7)?

Answer 1

First try rearranging this:
\[y = a(x – h)^2 + k \]
into the form \[(x-h)^2=4p(y-k) \]
Focus is \[(h,k+p) \]
Note that (h, k) is (12, 7)