Identify the vertex of the parabola.
\[
f(x)=-5(x+5)^{2}-7
\]
\(\boxed{\text{The vertex of the parabola is } (-5, -7)}\)
Step 1 :Identify the vertex of the parabola. The equation is given as \(f(x)=-5(x+5)^{2}-7\).
Step 2 :The vertex of a parabola given in the form \(f(x) = a(x-h)^2 + k\) is at the point (h, k).
Step 3 :In this case, the equation is already in that form, so we can directly read off the vertex.
Step 4 :From the equation, h = -5 and k = -7.
Step 5 :So, the vertex = (-5, -7).
Step 6 :\(\boxed{\text{The vertex of the parabola is } (-5, -7)}\)