Find Amplitude, Period, and Phase Shift y=-3cos(2x)

Problem

y=−3*cos(2*x)

Solution

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

2. Determine the value of A to find the amplitude. The amplitude is given by |A|

|A|=|−3|=3

3. Determine the value of B to find the period. The period of a cosine function is calculated using (2*π)/|B|

Period=(2*π)/2=π

4. Determine the value of C to find the phase shift. Since there is no horizontal shift inside the function argument, C=0

Phase Shift=0

Final Answer

Amplitude=3,Period=π,Phase Shift=0

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