Answer:
[tex]f(x) = 5 - (x - 4)^2[/tex].
Step-by-step explanation:
[tex]f(x) = 5 - (x - 4)^2[/tex]
[tex]f(x) = 5 - (x-4)*(x-4)[/tex]
[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]
[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]
[tex]f(x) = 5 - x^2 + 8x - 16[/tex]
[tex]f(x) = -x^2 + 8x - 11[/tex].
Hope this helps!
