\(f(x) = -3x^2 + 30x - 48\) The function \(f\) is defined by the give…

Question

Prompt

f (x) = - 3 x^{2} + 30 x - 48

The function

f

is defined by the given equation. Which of the following equivalent forms of the equation displays the maximum value of the function as a constant or coefficient?

f (x) = - 3 x^{2} + 24 x + 6 x - 48

f (x) = - 3 x (x - 8) + 6 (x - 8)

f (x) = - 3 (x - 5)^{2} + 27

f (x) = - 3 (x - 8) (x - 2)