The graph of $y = f(x) + 2$ is shown, where $f$ is defined by an equa…

Question

Prompt

The graph of

y = f (x) + 2

is shown, where

f

is defined by an equation of the form

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

. If

a

b

, and

c

are integer constants and

c \leq 0

, which equation could define

f

f (x) = - 5 (3)^{x}

f (x) = - 5 (3)^{x} - 1

f (x) = - 5 (3)^{x} - 3

f (x) = - 5 (3)^{x} - 5