Question

Which of the following describes how to translate the graph y=|x| to obtain the graph of y=|x-6|

Answer 1

You transformed the function as follows:

$f(x)\mapsto f(x-6)$

All trasformations of the fashion $f(x)\mapsto f(x+k)$ translate the function horizontally, k units right if k is positive, k units left if k is negative.

In your case, k=6, so you translated the original function y=|x| 6 units to the right.