given-the-function-y2cos4x3y2cosleft4x-3piright-identify-the-amplitude-period-an

Question

Given the function ﻿y=2cos⁡(4x−3π)y=2\cos\left(4x-3\pi\right)y=2cos(4x−3π)﻿, identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Accepted Answer

﻿Amplitude=2, Period=π2, Phase shift=3π4	ext{Amplitude}=2,~	ext{Period}=\frac{\pi}{2},~	ext{Phase shift}=\frac{3\pi}{4}Amplitude=2, Period=2π​, Phase shift=43π​﻿

Answer

﻿Amplitude=2, Period=π2, Phase shift=−3π4	ext{Amplitude}=2,~	ext{Period}=\frac{\pi}{2},~	ext{Phase shift}=-\frac{3\pi}{4}Amplitude=2, Period=2π​, Phase shift=−43π​﻿

Answer

﻿Amplitude=3, Period=2π, Phase shift=3π4	ext{Amplitude}=3,~	ext{Period}=2\pi,~	ext{Phase shift}=\frac{3\pi}{4}Amplitude=3, Period=2π, Phase shift=43π​﻿

Answer

﻿Amplitude=3, Period=2π, Phase shift=−3π4	ext{Amplitude}=3,~	ext{Period}=2\pi,~	ext{Phase shift}=-\frac{3\pi}{4}Amplitude=3, Period=2π, Phase shift=−43π​﻿

Given the function y=2cos(4x−3π)y=2\(\cos\[\left\)(4x-3\(\pi\]\right\))y=2cos(4x−3π), identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Given the function $y=2\(\cos\[\left\)(4x-3\(\pi\]\right\))$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.