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

Question

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.

Accepted Answer

$ext{Amplitude}=1,~ ext{Period}=2\pi,~ ext{Phase shift}=-\frac{3\pi}{2}$

Graph of y=cos(x+3π/2) depicting one period, with x-axis labeled in π units.

Answer

$ext{Amplitude}=1,~ ext{Period}=2\pi,~ ext{Phase shift}=-\frac{3\pi}{2}$

Graph of y=cos(x+3π/2) showing one period with x-axis labeled in π units.

Answer

$ext{Amplitude}=1,~ ext{Period}=2\pi,~ ext{Phase shift}=-\frac{3\pi}{2}$

Graph of a trigonometric function with x-axis labeled in π units, showing a different phase shift.

Answer

$ext{Amplitude}=1,~ ext{Period}=2\pi,~ ext{Phase shift}=-\frac{3\pi}{2}$

Graph of a trigonometric function with x-axis labeled in π units, illustrating another phase shift.

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.