watch the video and then solve the problem given below. click here to watch the video. determine the…

watch the video and then solve the problem given below. click here to watch the video. determine the amplitude, period, and phase shift (if any) of the given function. also, find its graph. y = 2 sin (1/4 x)
Answer
Explanation:
Step1: Recall amplitude formula
For $y = A\sin(Bx - C)+D$, amplitude is $|A|$. Here $A = 2$, so amplitude $=|2| = 2$.
Step2: Recall period formula
The period of $y=\sin(Bx)$ is $T=\frac{2\pi}{|B|}$. Here $B=\frac{1}{4}$, so $T=\frac{2\pi}{\left|\frac{1}{4}\right|}=8\pi$.
Step3: Recall phase - shift formula
For $y = A\sin(Bx - C)+D$, phase - shift is $\frac{C}{B}$. Here $C = 0$, so phase - shift is $\frac{0}{\frac{1}{4}}=0$.
Answer:
Amplitude: 2; Period: $8\pi$; Phase - shift: 0