The function $f$ is defined by $f(x) = ax^b + c$, where $a$, $b$, and…

Question

Prompt

The function

f

is defined by

f (x) = a x^{b} + c

, where

a

b

, and

c

are constants. If the graph of

y = f (x)

in the

x y

-plane passes through the points

(0, - 12)

and

(2, 0)

, and

b

is an integer greater than

1

, which of the following could be the value of

a