Question 974870
Standard Form Format, {{{y=a(x-h)^2+k}}}.


Knowing the vertex and a point for yours, solving for a will allow you to find its value.  You already know that   (h,k)=(-2,-11).


{{{y-k=a(x-h)^2}}}
{{{a=(y-k)/(x-h)^2}}}
{{{a=(5-(-11))/(-4-(-2))^2}}}
{{{a=16/(-2)^2}}}
{{{a=4}}}


{{{highlight(y=4(x+2)^2+11)}}}