Answer:
C
Step-by-step explanation:
the vertex of F(x) = (4, - 3)
the equation in vertex form is y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k ) = (4, - 3), hence
y = a(x - 4)² - 3
Since F(x) is a maximum then a = - 1
⇒ F(x) = - (x - 4)² - 3 → C
