Answer:
[tex]g(x)=x+2[/tex]
Step-by-step explanation:
The given parent function is [tex]f(x)=x+6[/tex]
If this function is shifted 4 units to the right, then the resulting function g(x) is related to the parent function by:
[tex]g(x)=f(x-4)[/tex]
[tex]\implies g(x)=x-4+6[/tex]
[tex]\implies g(x)=x+2[/tex]
From the attachment, we can see that g(x) is actually 4 units to the right of f(x).
