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

Problem

y=−2*sin(x)

Solution

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

2. Determine the value of A to find the amplitude. In the given equation y=−2*sin(x) the coefficient A=−2 The amplitude is the absolute value of A

Amplitude=|−2|=2

3. Determine the value of B to find the period. In the given equation, the coefficient of x is 1 so B=1 The formula for the period of a sine function is (2*π)/|B|

Period=(2*π)/1=2*π

4. Determine the value of C to find the phase shift. In the given equation, there is no horizontal shift added or subtracted from x so C=0

Phase Shift=0

Final Answer

Amplitude=2,Period=2*π,Phase Shift=0

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