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What is the midline equation of the function

{:[h(x)=5sin(4x-2)-3?],[y=]:}

What is the midline equation of the function\newlineh(x)=5sin(4x2)3?y= \begin{array}{l} h(x)=5 \sin (4 x-2)-3 ? \\ y=\square \end{array}

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Q. What is the midline equation of the function\newlineh(x)=5sin(4x2)3?y= \begin{array}{l} h(x)=5 \sin (4 x-2)-3 ? \\ y=\square \end{array}
  1. Identify Midline: The midline of a sinusoidal function like h(x)=5sin(4x2)3h(x) = 5\sin(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(BxC)+DA\sin(Bx - C) + D or Acos(BxC)+DA\cos(Bx - C) + D, where DD is the vertical shift, the midline is simply y=Dy = D.
  2. Calculate Vertical Shift: In the given function h(x)=5sin(4x2)3h(x) = 5\sin(4x - 2) - 3, the coefficient DD, which represents the vertical shift, is 3-3. Therefore, the equation of the midline is y=3y = -3.

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