Question

how do you find the focus of a parabola from a vertex equation

Answer 1

what's the equation? usually you'd want to put in a \(\bf (y-k)^2=4p(x-h) \qquad or\qquad
(x-h)^2=4p(y-k)\\ \quad \\
p=\textit{distance form the vertex to the focus}\) form

Answer 2

\[2(x+6)^{2}\]

Answer 3

\(\bf y=2(x+6)^2\implies y=2(x+6)^2+0\implies \cfrac{1}{2}(y-0)=(x+6)^2\)

Answer 4

notice your vertex coordinates, notice the "p" distance