Describe how to transform the graph of the basic function g(x) into the graph of the given function f(x).
-$$f ( x ) = \log ( x ) + 2 ; \quad g ( x ) = \log x$$
A) Translate 2 units to the right.
B) Translate 2 units to the left.
C) Translate 2 units up.
D) Translate 2 units down.

Question

Quizplus · Accepted Answer

The given function $f(x) = \log(x) + 2$ is obtained from the basic function $g(x) = \log(x)$ by adding 2 to the output (y-value) of $g(x)$. This corresponds to a vertical translation of the graph of $g(x)$ upwards by 2 units.

Describe How to Transform the Graph of the Basic Function f(x)=log⁡(x)+2;g(x)=log⁡xf ( x ) = \log ( x ) + 2 ; \quad g ( x ) = \log xf(x)=log(x)+2;g(x)=logx

Describe How to Transform the Graph of the Basic Function $f ( x ) = \log ( x ) + 2 ; \quad g ( x ) = \log x$