I keep getting kicked out every time a tutor goes to answer my question.

(C) translation 8 units right
Explanationgiven the fuction:
[tex]f(x)=x[/tex]was transformed to obtain
[tex]g(x)=x-8[/tex]so, the transformation to the patern function was subtract 8
Step 2
when you subtrac a value k to the function´s argument the function is shifted to the rigth, so the answer is
(C) translation 8 units right
I hope this helps you