given-the-function-y5sinx4y5sinleftpi-x4right-identify-the-amplitude-period-and-

Question

Given the function $y=5\sin\left(\pi x+4\right)$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Accepted Answer

$ext{Amplitude}=5,~ ext{Period}=2,~ ext{Phase shift}=-\frac{4}{\pi}$

Graph of y=5sin(πx+4) showing one period of the sine function.

Answer

$ext{Amplitude}=5,~ ext{Period}=2,~ ext{Phase shift}=-\frac{4}{\pi}$

Answer

$ext{Amplitude}=5,~ ext{Period}=2,~ ext{Phase shift}=-\frac{4}{\pi}$

Graph of y=5sin(πx+4) illustrating the sine wave's phase shift.

Answer

$ext{Amplitude}=5,~ ext{Period}=2,~ ext{Phase shift}=-\frac{4}{\pi}$

Graph of y=5sin(πx+4) depicting the sine function's amplitude and period.

Given the function y=5sin(πx+4)y=5\sin\left(\pi x+4\right)y=5sin(πx+4), identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.

Given the function $y=5\sin\left(\pi x+4\right)$ , identify the amplitude, period, and phase shift from the options below. Then, sketch its graph by considering only one period.