Q. What is the midline equation of the functionh(x)=5sin(4x−2)−3?y=□
Identify Midline: The midline of a sinusoidal function like h(x)=5sin(4x−2)−3 is the horizontal line that represents the average value of the function's maximum and minimum values. Since the sinusoidal function is in the form of Asin(Bx−C)+D or Acos(Bx−C)+D, where D is the vertical shift, the midline is simply y=D.
Calculate Vertical Shift: In the given function h(x)=5sin(4x−2)−3, the coefficient D, which represents the vertical shift, is −3. Therefore, the equation of the midline is y=−3.
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