Suppose that 𝑓(𝑥) is a periodic function with amplitude 2 and period of 4. If 𝑔(𝑥)=−3𝑓(𝑥)+2, then which of the following is true about 𝑔(𝑥):
The amplitude is -6, the period is -12, and it is 6 units down from 𝑓(𝑥).
The amplitude is 6, the period is 4, and it is 2 units up from 𝑓(𝑥).
The amplitude is -6, the period is 4, and it is 2 units down from 𝑓(𝑥).
The amplitude is 6, the period is -12, and it is 2 units up from 𝑓(𝑥).