Question

10/20
$g(x)=f(x - 4)$
describe the transformation to $f(x)$ that results in $g(x)$.
$f(x)$ has been translated to the left 4.
$f(x)$ has been translated to the right 4.

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 \(g(x)=f(x - 4)\), we have \(h = 4>0\). So, the graph of \(f(x)\) is translated 4 units to the right to get the graph of \(g(x)\).

Answer:

f(x) has been translated to the right 4.