Identify Amplitude: Identify the amplitude from the standard form of the sine function.The standard form of a sine function is y=A⋅sin(Bx−C)+D, where A is the amplitude.In the given function y=5sin(4x−2)−3, the coefficient of sin(4x−2) is 5.Therefore, the amplitude is the absolute value of 5.
Confirm Positive Amplitude: Confirm that the amplitude is a positive value.Amplitude is always a non-negative number because it represents the maximum displacement from the midline of the wave.Since 5 is already a positive number, we can confirm that the amplitude is indeed 5.
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