How are the graphs #f(x)=absx# and #g(x)=abs(x+4)# related?

1 Answer
Anjali G
Nov 5, 2016

The only difference between the graphs of #f(x)# and #g(x)# is that #g(x)# is #f(x)# translated left 4 units.

Explanation:

#f(x) = |x|# is graphed below
graph{|x| [-9.75, 10.25, -2.08, 7.92]}

#g(x) = |x+4|# is graphed below
graph{|x+4| [-9.75, 10.25, -2.08, 7.92]}

As you can see, they are the same graph, but #g(x)# is #f(x)# shifted 4 units left.

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