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)?

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Answer 1 · 2017-07-10T16:14:53

$g (x) = | x - 4 |$ $g(x)=abs(x-4)$

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

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

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

$g (x) = | x - 4 |$ $g(x)=abs(x-4)$

Let's check our answer.

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

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

$g (x) = | x | + 4$ $g(x)=abs(x)+4$

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