Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x).
-$$f ( x ) = \ln ( 8 - x ) ; \quad g ( x ) = \ln x$$
A) Reflect across the $y$-axis and then translate 8 units to the left.
B) Reflect across the $x$-axis and then translate 8 units to the left.
C) Reflect across the $y$-axis and then translate 8 units to the right.
D) Reflect across the $x$-axis and then translate 8 units to the right.

Question

Quizplus · Accepted Answer

The transformation involves reflecting $g(x) = \ln x$ across the $y$-axis to get $\ln(-x)$, and then translating 8 units to the right to get $\ln(8-x)$.

Describe How to Transform the Graph of the Basic Function f(x)=ln⁡(8−x);g(x)=ln⁡xf ( x ) = \ln ( 8 - x ) ; \quad g ( x ) = \ln xf(x)=ln(8−x);g(x)=lnx

Describe How to Transform the Graph of the Basic Function $f ( x ) = \ln ( 8 - x ) ; \quad g ( x ) = \ln x$