The vertex form says that
[tex]f(x)=a(x-h)^2+k[/tex]The vertex will be
[tex](h,k)[/tex]If we have the function
[tex]f(x)=-7(x-(-8))^2+7[/tex]We can see that k = 7 and h = -8, it means that the vertex is
[tex](-8,7)[/tex]Final answer:
The vertex is (-8, 7)