Answer:
Step-by-step explanation:
hello :
f(x) = x² – 8x – 9 = (x²-8x+16)-16-9
f(x) = (x-4)²-25 ..... vertex form
the vertex is : (4 ; -25)
[tex]f(x) = x^2 - 8x -9\\\\x_0=\frac{8}{2} =4\\\\y_0=4^2-8*4-9=-25\\\\[/tex]
Vertex: (4;-25)
P.S. Hello from Russia