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

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

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Q. What is the amplitude of y=−3cos⁡(πx+2)−6? y=-3 \cos (\pi x+2)-6 ? \newlineunits
  1. Identify standard form: Identify the standard form of a cosine function.\newlineThe standard form of a cosine function is y=Acos⁡(Bx+C)+Dy = A \cos(Bx + C) + D, where AA is the amplitude.
  2. Determine amplitude: Determine the amplitude from the given function.\newlineIn the given function y=−3cos⁡(πx+2)−6y = -3\cos(\pi x + 2) - 6, the coefficient of the cosine function is −3-3. The amplitude is the absolute value of this coefficient.\newlineAmplitude = ∣−3∣=3|-3| = 3
  3. Check for errors: Check for any mathematical errors in the previous steps.\newlineThere are no mathematical errors in the calculation of the amplitude.

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