Find Amplitude, Period, and Phase Shift y=7sin(x)

Problem

y=7*sin(x)

Solution

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

2. Determine the value of A to find the amplitude. In this equation, A=7 The amplitude is |A|

3. Determine the value of B to find the period. In this equation, B=1 The formula for the period is (2*π)/|B|

4. Determine the value of C to find the phase shift. In this equation, there is no horizontal shift, so C=0

Final Answer

Amplitude=7,Period=2*π,Phase Shift=0

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