Find Amplitude, Period, and Phase Shift y=2sin(1/4x)

Problem

y=2*sin(1/4*x)

Solution

1. Identify the standard form of the trigonometric function, which is y=A*sin(B*(x−C))+D In this equation, A=2 B=1/4 C=0 and D=0

2. Calculate the amplitude by taking the absolute value of the coefficient A

Amplitude=|A|

Amplitude=|2|=2

3. Calculate the period using the formula P=(2*π)/|B|

Period=(2*π)/(1/4)

Period=8*π

4. Determine the phase shift by identifying the value of C Since there is no horizontal shift inside the sine function, the phase shift is zero.

Phase Shift=0

Final Answer

Amplitude=2,Period=8*π,Phase Shift=0

Want more problems? Check here!