What is the effect of the translation $f(x-3 a)+b$ on the graph of the function $f(x)$ ? Assume $a$ and $b$ are positive constants.
A) Shift right $3 a$, then up $b$.
B) Shift right $3 a$, then down $b$.
C) Shift left $3 a$, then up $b$.
D) Shift left $3 a$, then down $b$.

Question

Quizplus · Accepted Answer

The translation $f(x-3a)+b$ shifts the graph of $f(x)$ right by $3a$ units and up by $b$ units.

What Is the Effect of the Translation f(x−3a)+bf(x-3 a)+bf(x−3a)+b On the Graph of the Function

What Is the Effect of the Translation $f(x-3 a)+b$ On the Graph of the Function