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What is the amplitude of y=-6sin(3pi x+4)-2? units

What is the amplitude of y=−6sin⁡(3πx+4)−2 y=-6 \sin (3 \pi x+4)-2 ?\newlineunits

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Q. What is the amplitude of y=−6sin⁡(3πx+4)−2 y=-6 \sin (3 \pi x+4)-2 ?\newlineunits
  1. Find Amplitude: The amplitude of a trigonometric function like y=Asin⁡(Bx+C)+Dy = A\sin(Bx + C) + D is the absolute value of the coefficient AA. In the given function y=−6sin⁡(3πx+4)−2y = -6\sin(3\pi x + 4) - 2, the coefficient AA is −6-6.
  2. Absolute Value of Coefficient: To find the amplitude, we take the absolute value of −6-6.\newlineAmplitude = ∣−6∣=6|-6| = 6

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