Answer
Refer to the blue graph below.
Work Step by Step
RECALL:
The function $y=f(x-h)$ involves a horizontal shift of $h$ units to the right of the parent function when $h\gt 0$ and $|h|$ units to the left when $h \lt 0$.
The parent function of the given function is $y=|x|$.
The given function can be written as $f(x)=|x-(-2)|$.
This is in the same format as the equation in the recall part above, and has $h=-2$.
This means that the graph of $f(x)=|x+2|$ involves a horizontal shift of $|-2|=2$ units to the left of the parent function $y=|x|$
Thus, to graph the given function:
(1) Graph the parent function $y=|x|$ .
(Refer to the red graph in the attached image below)
(2) Shift the parent function 2 units to the left.
(Refer to the blue graph in the attached image above.)