The red parabola shown is the graph of the equation x = ay^2 + by + c. Find c. (The grid lines are spaced one unit apart.)

I assume you want the equation

The vertex is (-4,2)  and it passes though (-2,0)

\((y-2)^2=4a(x+4)\\ sub\;\; in \;\;(-2,0)\\ 4=4a*2\\ 2a=1\\ a=0.5\\~\\ (y-2)^2=2(x+4)\\\)

now rearrange to get it into the forem you want.