Compare the graph of $f ( x ) = e ^ { x - 8 }$ to the graph of $y = e ^ { x }$.
A) The graph of $f ( x ) = e ^ { x - 8 }$ is shifted up 8 units from the graph of $y = e ^ { x }$.
B) The graph of $f ( x ) = e ^ { x - 8 }$ is shifted down 8 units from the graph of $y = e ^ { x }$ .
C) The graph of $f ( x ) = e ^ { x - 8 }$ is shifted 8 units to the left of $y = e ^ { x }$ .
D) The graph of $f ( x ) = e ^ { x - 8 }$ is shifted 8 units to the right of $y = e ^ { x }$ .

Question

Quizplus · Accepted Answer

The function $f(x) = e^{x-8}$ represents a horizontal shift of the graph of $y = e^x$ 8 units to the right.

Compare the Graph Of f(x)=ex−8f ( x ) = e ^ { x - 8 }f(x)=ex−8

Compare the Graph Of $f ( x ) = e ^ { x - 8 }$