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

Question

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.

Accepted Answer

$ext{Amplitude}=2,~ ext{Period}=\frac{\pi}{2},~ ext{Phase shift}=\frac{3\pi}{4}$

Graph of y=2cos(4x-3π) showing one period with labeled axes.

Answer

$ext{Amplitude}=2,~ ext{Period}=\frac{\pi}{2},~ ext{Phase shift}=\frac{3\pi}{4}$

Graph of y=2cos(4x-3π) illustrating phase shift and amplitude.

Answer

$ext{Amplitude}=2,~ ext{Period}=\frac{\pi}{2},~ ext{Phase shift}=\frac{3\pi}{4}$

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Answer

$ext{Amplitude}=2,~ ext{Period}=\frac{\pi}{2},~ ext{Phase shift}=\frac{3\pi}{4}$

Graph of a trigonometric function with labeled axes and a downward curve.

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.