Find Amplitude, Period, and Phase Shift f(x)=5sin(x)

Problem

ƒ(x)=5*sin(x)

Solution

1. Identify the standard form of the sine function, which is ƒ(x)=a*sin(b*(x−h))+k

2. Determine the value of a which is the coefficient of the sine function. Here, a=5

3. Calculate the amplitude using the formula Amplitude=|a|

4. Determine the value of b which is the coefficient of x Here, b=1

5. Calculate the period using the formula Period=(2*π)/|b|

6. Determine the phase shift h by looking at the horizontal displacement inside the sine function. Since there is no value subtracted from x h=0

Final Answer

Amplitude=5,Period=2*π,Phase Shift=0

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