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What is the amplitude of y=3sin(2x-1)+4 ? units

What is the amplitude of y=3sin⁡(2x−1)+4 y=3 \sin (2 x-1)+4 ?\newlineunits

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Full solution

Q. What is the amplitude of y=3sin⁡(2x−1)+4 y=3 \sin (2 x-1)+4 ?\newlineunits
  1. Identify standard form: Identify the standard form of a sine function.\newlineThe standard form of a sine function is y=Asin⁡(Bx−C)+Dy = A\sin(Bx - C) + D, where AA is the amplitude.
  2. Compare to given function: Compare the given function to the standard form.\newlineThe given function is y=3sin⁡(2x−1)+4y = 3\sin(2x - 1) + 4. Here, A=3A = 3, which represents the amplitude of the sine wave.
  3. Determine amplitude: Determine the amplitude of the function.\newlineThe amplitude is the absolute value of AA, which is ∣3∣=3|3| = 3.

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