given-the-function-ycosx32ycosleftxfrac3pi2right-identify-the-amplitude-period-a

Question

Given the function ﻿y=cos⁡(x+3π2)y=\cos\left(x+\frac{3\pi}{2}\right)y=cos(x+23π​)﻿, identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Accepted Answer

﻿Amplitude=1, Period=2π, Phase shift=−3π2	ext{Amplitude}=1,~	ext{Period}=2\pi,~	ext{Phase shift}=-\frac{3\pi}{2}Amplitude=1, Period=2π, Phase shift=−23π​﻿

Answer

﻿Amplitude=32, Period=2π, Phase shift=−π2	ext{Amplitude}=\frac{3}{2},~	ext{Period}=2\pi,~	ext{Phase shift}=-\frac{\pi}{2}Amplitude=23​, Period=2π, Phase shift=−2π​﻿

Answer

﻿Amplitude=32, Period=π, Phase shift=π2	ext{Amplitude}=\frac{3}{2},~	ext{Period}=\pi,~	ext{Phase shift}=\frac{\pi}{2}Amplitude=23​, Period=π, Phase shift=2π​﻿

Answer

﻿Amplitude=1, Period=2π, Phase shift=3π2	ext{Amplitude}=1,~	ext{Period}=2\pi,~	ext{Phase shift}=\frac{3\pi}{2}Amplitude=1, Period=2π, Phase shift=23π​﻿

Given the function y=cos(x+3π2)y=\(\cos\[\left\)(x+\(\frac{3\pi}{2}\]\right\))y=cos(x+23π), identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Given the function $y=\(\cos\[\left\)(x+\(\frac{3\pi}{2}\]\right\))$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.