Express the function f(x) = −x 2 + 8x − 11 in standard form and use it to graph the function.

Answer 1

f(x) =-x^2 +8 -11

= -(x^2 -8) -11

= -(x^2 -8x + 16) -11 +16

=-(x-4)^2 +5 vertex is (4,5) = maximum point. the parabola is downward opening, with axis of symmetry x=4