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

Question

Given the function $y = \frac{1}{4} \sin (x + 2 π)$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Accepted Answer

$Amplitude = \frac{1}{4}, Period = 2 π, Phase shift = - 2 π$

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

Answer

$Amplitude = \frac{1}{4}, Period = 2 π, Phase shift = - 2 π$

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

Answer

$Amplitude = \frac{1}{4}, Period = 2 π, Phase shift = - 2 π$

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

Answer

$Amplitude = \frac{1}{4}, Period = 2 π, Phase shift = - 2 π$

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

Given the function y=14sin(x+2π)y=\(\frac\)14\(\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.

Given the function $y = \frac{1}{4} \sin (x + 2 π)$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.