Answer:
[tex]g(x) = |x - 3|[/tex]
Step-by-step explanation:
Given
[tex]f(x) = |x|[/tex]
Required
Translate 3 units right
The result of a right translated function is:
[tex]g(x) = f(x - h)[/tex]
Where h is the unit of translation
[tex]h = 3[/tex]
[tex]g(x) = f(x - 3)[/tex]
Solve for f(x - 3)
[tex]f(x) = |x|[/tex]
[tex]f(x - 3) = |x - 3|[/tex]
Hence;
[tex]g(x) = |x - 3|[/tex]
