Question

select the correct answer.
in which direction must the graph of ( f(x)=2^{x} ) be shifted to produce the graph of ( g(x)=2^{(x - 7)} )?
a. down
b. right
c. left
d. up

Explanation:

Step1: Recall the horizontal shift rule

For a function \(y = f(x - h)\), the graph of \(y = f(x)\) is shifted \(h\) units to the right.

Step2: Identify \(h\) in the given functions

Given \(f(x)=2^{x}\) and \(g(x)=2^{(x - 7)}\), here \(h = 7\).

Answer:

B. right