Identify the transformation of $f ^ { \prime } ( x ) = 2 ^ { x }$ . $h ( x ) = 2 ^ { x - 6 }$
A)a shift of 6 units downward
B)a shift of 6 units to the left
C)a reflection about the line x=6
D)a shift of 6 units to the right
E)a shift of 6 units upward

Question

Quizplus · Accepted Answer

The original function is a basic exponential function where the base is 2 and the exponent is x. The transformed function is also an exponential function with the same base, but the exponent is now (x-6). This means that the graph of h(x) is the same as the graph of f(x) shifted 6 units to the right. Therefore, the correct answer is D, a shift of 6 units to the right.

Identify the Transformation Of f′(x)=2xf ^ { \prime } ( x ) = 2 ^ { x }f′(x)=2x

Identify the Transformation Of $f ^ { \prime } ( x ) = 2 ^ { x }$