The graph of $f ( x ) = | x + 5 |$ is
A) shifted 5 units to the left of y = $| x |$ .
B) shifted 5 units to the right of y = $| x |$ .
C) shifted 5 units down from the graph of y = $| x |$ .
D) shifted 5 units up from the graph of y = $| x |$.

Question

Quizplus · Accepted Answer

The graph of $f(x) = |x + 5|$ is obtained by taking the graph of $y = |x|$ and shifting it 5 units to the left. This is because the addition of 5 inside the absolute value function effectively translates the graph horizontally to the left by 5 units.

The Graph Of f(x)=∣x+5∣f ( x ) = | x + 5 |f(x)=∣x+5∣

The Graph Of $f ( x ) = | x + 5 |$