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What is the midline equation of the function {:[h(x)=-4cos(5x-9)-7?],[y=]:}

What is the midline equation of the function\newlineh(x)=−4cos⁡(5x−9)−7?y=□ \begin{array}{l} h(x)=-4 \cos (5 x-9)-7 ? \\ y=\square \end{array}

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Full solution

Q. What is the midline equation of the function\newlineh(x)=−4cos⁡(5x−9)−7?y=□ \begin{array}{l} h(x)=-4 \cos (5 x-9)-7 ? \\ y=\square \end{array}
  1. Midline of cosine function: The midline of a cosine function of the form h(x)=Acos⁡(Bx−C)+D h(x) = A\cos(Bx - C) + D is the horizontal line y=D y = D , where D D is the vertical shift of the function.
  2. Vertical shift in given function: In the given function h(x)=−4cos⁡(5x−9)−7 h(x) = -4\cos(5x - 9) - 7 , the vertical shift D D is −7-7.
  3. Midline equation of the function: Therefore, the midline equation of the function is y=−7 y = -7 .

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