find g(x), where g(x) is the translation 2 units right of f(x) = |x|. write your answer in the form a|x - h|…

find g(x), where g(x) is the translation 2 units right of f(x) = |x|. write your answer in the form a|x - h| + k, where a, h, and k are integers. g(x) =

find g(x), where g(x) is the translation 2 units right of f(x) = |x|. write your answer in the form a|x - h| + k, where a, h, and k are integers. g(x) =

Answer

Explanation:

Step1: Recall translation rule

For a function $y = f(x)$, a translation $h$ units to the right gives $y=f(x - h)$.

Step2: Apply the rule to $f(x)=|x|$

Here $h = 2$, so $g(x)=|x - 2|$. Comparing with the form $a|x - h|+k$, we have $a = 1$, $h=2$ and $k = 0$.

Answer:

$1|x - 2|+0$ or simply $|x - 2|$