The graph of g(x) results when the graph of f(x) = |x| is shifted 4 units to the right, what is the equation of g(x)?

1 Answer
Jul 10, 2017

Answer:

#g(x)=abs(x-4)#

Explanation:

Here's what #f(x)=abs(x)# looks like:

graph{abs(x) [-10, 10, -5, 5]}

If #g(x)# is #f(x)# shifted 4 units to the right. Then:

#g(x)=abs(x-4)#

Let's check our answer.

graph{abs(x-4) [-10, 10, -5, 5]}

As a side note, if the question was #g(x)# was shifted 4 units up, then:

#g(x)=abs(x)+4#

graph{abs(x)+4 [-10, 10, -5, 5]}