Asked by It Happens

Describe how the graphs of y=|x| and y=|x+3| are related.
-The two graphs have the same shape but the second graph is shifted 3 units up
-the two graphs have the same shape but the second graph is shifted 3 units down
-the two graphs have the same shape but the second graph is shifted 3 units left
-the two graphs have the same shape but the second graph is shifted 3 units right

sorry if this is a pathetic question, I'm pretty bad at math
Answered by mathhelper
Generally speaking:
if you have y = f(x)
then something like y = f(x+5) would be a horizontal shift of 5 units to the left
and something like y = f(x-5) would be a horizontal shift of 5 units to the right

so yours would be 3 units to the left

Proof: (copy and paste this URL)

www.wolframalpha.com/input/?i=y%3D%7Cx%7C+%2C+y%3D%7Cx%2B3%7C
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