we are given the following function:
[tex]f\mleft(x\mright)=(x+8)^{2}-5[/tex]This is a function of the form:
[tex]f(x)=a(x-h)+k[/tex]Where the point (h, k) is the vertex of the parabola that represents the graph of the function. Since the point "a" in the function is:
[tex]a=1>0[/tex]This means that the vertex is a minimum and that minimum is located at the point:
[tex](h,k)=(-8,-5)[/tex]