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What is the amplitude of h(x)=-4sin(2x-7)+3 ? units

What is the amplitude of h(x)=−4sin⁡(2x−7)+3 h(x)=-4 \sin (2 x-7)+3 ?\newlineunits

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Full solution

Q. What is the amplitude of h(x)=−4sin⁡(2x−7)+3 h(x)=-4 \sin (2 x-7)+3 ?\newlineunits
  1. Find Amplitude: The amplitude of a trigonometric function like h(x)=−4sin⁡(2x−7)+3h(x) = -4\sin(2x-7)+3 is the absolute value of the coefficient of the sine function. In this case, the coefficient is −4-4.
  2. Absolute Value: To find the amplitude, we take the absolute value of −4-4, which is 44.
  3. Calculate Amplitude: Therefore, the amplitude of the function h(x)h(x) is 44 units.

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