Question

g(x)=f(x - 3)
describe the transformation to f(x) that results in g(x).

f(x) has been translated to the left 3.
f(x) has been translated to the right 3.

Explanation:

Step1: Recall the transformation rule

For a function \( y = f(x - h) \), when \( h>0 \), the graph of \( y = f(x) \) is translated \( h \) units to the right.

Step2: Analyze the given function

In the function \( g(x)=f(x - 3) \), we have \( h = 3>0 \).

So, the graph of \( f(x) \) is translated \( 3 \) units to the right to get the graph of \( g(x) \).

Answer:

B. \( f(x) \) has been translated to the right \( 3 \).