Compare the graph of $f ( x ) = 6 ^ { x - 5 }$ to the graph of $y = 6 ^ { x }$ .
A) The graph of $f ( x ) = 6 ^ { x - 5 }$ is shifted 5 units to the left of the graph of $y = 6 ^ { x }$ .
B) The graph of $f ( x ) = 6 ^ { x - 5 }$ is shifted 5 units to the right of the graph of $y = 6 ^ { x }$ .
C) The graph of $f ( x ) = 6 ^ { x - 5 }$ is shifted up 5 units from the graph of $y = 6 ^ { x }$ .
D) The graph of $f ( x ) = 6 ^ { x - 5 }$ is shifted down 5 units from the graph of $y = 6 ^ { x }$ .

Question

Quizplus · Accepted Answer

The graph of $f(x) = 6^{x-5}$ is shifted 5 units to the right of the graph of $y = 6^x$ because the subtraction inside the exponent effectively moves the graph to the right, not to the left.

Compare the Graph Of f(x)=6x−5f ( x ) = 6 ^ { x - 5 }f(x)=6x−5

Compare the Graph Of $f ( x ) = 6 ^ { x - 5 }$