Answer: C
Step-by-step explanation:
If a parabola is given by [tex]a(x - h)^2 + k[/tex], the focus is at the point [tex](h, k + 1/4a)[/tex].
We know the focus is [tex](3, 8)[/tex], so it should look like [tex]a(x - 3)^2 + k[/tex]. We can cross off B and D.
Let's check if A works: [tex]8 = -9 + 1/(4 \cdot \frac 14) = -8[/tex]. Obviously this is false, so we can cross off A.
Thus it's C by process of elimination.
