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For a number $b,$ the graph of $y=|x-b|$ represents a horizontal translation by $b$ units. If $b>0,$ the translation is performed to the right. Otherwise, it is performed to the left. Let's rewrite the given absolute value function to match this format. $\begin{gathered} y=|x+2| \quad \Leftrightarrow \quad y=|x-({\color{#FF0000}{\text{-} 2}})| \end{gathered}$ In our equation we have that $b={\color{#FF0000}{\text{-} 2}}.$ Therefore, we have to translate the graph of the parent function, $y=|x|,$ left $2$ units.