Answer:
[tex](4,-28)[/tex]
Step-by-step explanation:
Recall that the x-coordinate of the vertex is [tex]x=-\frac{b}{2a}[/tex], therefore:
[tex]x=-\frac{b}{2a}[/tex]
[tex]x=-\frac{-8}{2(1)}[/tex]
[tex]x=4[/tex]
Now we find f(4) to get the y-coordinate of the vertex:
[tex]f(x)=x^2-8x-12[/tex]
[tex]f(4)=4^2-8(4)-12[/tex]
[tex]f(4)=16-32-12[/tex]
[tex]f(4)=-16-12[/tex]
[tex]f(4)=-28[/tex]
Therefore, the vertex of the graph is [tex](4,-28)[/tex]
