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

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Steve M Share
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| = { (-x,x lt 0), (0, x=0), (x, x gt 0) :} #

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