Answer:
X-8 is the best answer there
1. 1st transformation is translation the parent function
6 units to the right to get the function 
2. 2nd transformation is reflection the function
over the x-axis. This transformation gives you the function 
3. 3rd transformation is vertical stretch of the function
by a factor of 2 to get the function 
Only last two are present in options, then
answer: C and D.
Answer:
3 cycles
Step-by-step explanation:
in one period, you have one full cycle
because the period for this function is 4pi, you have one cycle per 4pi
if you have a total of 12pi, you would have 3 cycles (12pi/4pi=3)
hope this helps!