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# How do you graph y=abs(x+2)?

Jan 13, 2018

In order to graph the function $y = | x + 2 |$ we graph the function $y = | x |$ and translate the graph two units the the right

Thus we take the graph of $y = | x |$
graph{|x| [-10, 10, -5, 5]}

And translate two unit to the left for the graph of $y = | x + 2 |$
graph{|x+2| [-10, 10, -5, 5]}

If you struggle to graph $y = | x |$ then we can revert to its definition:

$| x | = \left\{\begin{matrix}- x & x < 0 \\ 0 & x = 0 \\ x & x > 0\end{matrix}\right.$