given-the-function-y14sinx2yfrac14sinleftx2piright-identify-the-amplitude-period

Question

Given the function $y=\frac14\sin\left(x+2\pi\right)$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Accepted Answer

$ext{Amplitude}=\frac{1}{4},~ ext{Period}=2\pi,~ ext{Phase shift}=-2\pi$

Graph of a sine function with a phase shift, showing oscillation around the x-axis.

Answer

$ext{Amplitude}=\frac{1}{4},~ ext{Period}=2\pi,~ ext{Phase shift}=-2\pi$

Graph of y=14sin(x+2π) showing one period of the sine function.

Answer

$ext{Amplitude}=\frac{1}{4},~ ext{Period}=2\pi,~ ext{Phase shift}=-2\pi$

Graph of y=14sin(x+2π) illustrating the sine wave's amplitude and period.

Answer

$ext{Amplitude}=\frac{1}{4},~ ext{Period}=2\pi,~ ext{Phase shift}=-2\pi$

Graph depicting a sine wave with a smaller amplitude, showing phase shift.

Given the function y=14sin(x+2π)y=\frac14\sin\left(x+2\pi\right)y=41sin(x+2π), identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Given the function $y=\frac14\sin\left(x+2\pi\right)$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.