Question

which equation is an absolute value graph shifted right 5 units? options: $y = |x + 5|$, $y = -5|x|$, $y = |x| + 5$, $y = |x - 5|$

Explanation:

Step1: Recall absolute value shifts

For the parent function $y=|x|$, a horizontal shift right by $h$ units follows the form $y=|x-h|$.

Step2: Apply shift value h=5

Substitute $h=5$ into the shift formula: $y=|x-5|$.

Step3: Match to options

Compare with given choices to identify the correct equation.

Answer:

$y = |x - 5|$