Find Amplitude, Period, and Phase Shift y=-4sin(2pix)

Problem

y=−4*sin(2*π*x)

Solution

1. Identify the standard form of the trigonometric function, which is y=A*sin(B*(x−C))+D

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

|A|=|−4|

|A|=4

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

P=(2*π)/(2*π)

P=1

4. Determine the phase shift by identifying the horizontal shift C Since there is no value subtracted from x inside the sine function, C=0

Phase Shift=0

Final Answer

Amplitude=4,Period=1,Phase Shift=0

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