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What is the midline equation of y=10cos⁡(6x−1)−4y=10\cos(6x-1)-4

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Q. What is the midline equation of y=10cos⁡(6x−1)−4y=10\cos(6x-1)-4
  1. Identifying Midline: The midline of a trigonometric function like y=Acos⁡(Bx−C)+Dy = A\cos(Bx - C) + D is a horizontal line that represents the vertical shift of the function. It is given by the equation y=Dy = D, where DD is the constant that vertically shifts the graph of the cosine function.\newlineIn the given function y=10cos⁡(6x−1)−4y = 10\cos(6x - 1) - 4, the value of DD is −4-4.
  2. Calculating Midline Value: To write the midline equation, we simply take the value of DD and write the equation y=Dy = D.\newlineSo, the midline equation of the given function is y=−4y = -4.

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