You transformed the function as follows:

All trasformations of the fashion
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.
Step-by-step explanation:
sin(x) = M, M > 0
= sin(x - π)
= sin(x)cos(π) - cos(x)sin(π)
= sin(x).(-1) - cos(x).0
= -sin(x) - 0
= -sin(x)
= -M
Yea so whats the question or is that just a fact<span />