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

Problem

y=−2*sin(π*x)

Solution

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

2. Determine the values of the constants from the given equation y=−2*sin(π*x)

3. Extract the value of A where A=−2

4. Calculate the amplitude using the formula Amplitude=|A|

Amplitude=|−2|=2

5. Extract the value of B where B=π

6. Calculate the period using the formula Period=(2*π)/|B|

Period=(2*π)/π=2

7. Identify the phase shift C Since there is no horizontal shift inside the sine function, C=0

Phase Shift=0

Final Answer

Amplitude=2,Period=2,Phase Shift=0

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