The function \(f\) is defined by \(f(x) = 4(x - 3)(x^2 - k)\), where …

Question

Prompt

The function

f

is defined by

f (x) = 4 (x - 3) (x^{2} - k)

, where

k

is a constant. In the

x y

-plane, the graph of

y = f (x)

passes through the point

(- 8, 0)

. What is the value of

f (0)