The period of a function is 4 pi how many cycles of the function occur in a horizontal length of 12 pi

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!

horizontal stretch and A for the next two questions

Step-by-step explanation:

except a rational number. : )

the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation: