Question

How does the graph of f(x) = -2^3x -4 differ from the graph of g(x) = -2^3x?

Answer 1

The answer is letter a

Answer 2

Answer:

Option: A is the correct answer.

A. The graph of f(x) is shifted four units down from the graph of g(x).

Step-by-step explanation:

We know that for any parent function g(x) the transformed function g(x)+k is a shift of the function g(x) k units up or down depending on the value of k

i.e. if k>0 then the shift is k units up

and if k<0 then the shift is k units down.

Hence, here we have parent function g(x) as:

$g(x)=-2^{3x}$

and we are given transformed function f(x) as:

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

This means we have k=-4<0

This means that the function f(x) is the shift of the parent function g(x) 4 units down.