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What is the midline equation of {:[y=7sin((3pi)/(4)x-(pi)/(4))+6?],[y=]:}

What is the midline equation of\newliney=7sin⁡(3π4x−π4)+6?y=□ \begin{array}{l} y=7 \sin \left(\frac{3 \pi}{4} x-\frac{\pi}{4}\right)+6 ? \\ y=\square \end{array}

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Q. What is the midline equation of\newliney=7sin⁡(3π4x−π4)+6?y=□ \begin{array}{l} y=7 \sin \left(\frac{3 \pi}{4} x-\frac{\pi}{4}\right)+6 ? \\ y=\square \end{array}
  1. Midline of sinusoidal function: The midline of a sinusoidal function such as y=Asin⁡(Bx−C)+Dy = A\sin(Bx - C) + D is the horizontal line y=Dy = D, where DD is the vertical shift from the origin.
  2. Vertical shift in given function: In the given function y=7sin⁡(3π4x−π4)+6y = 7\sin\left(\frac{3\pi}{4}x - \frac{\pi}{4}\right) + 6, the value of DD is 66. This represents the vertical shift of the sinusoidal function.
  3. Midline equation of given function: Therefore, the midline equation of the given function is y=6y = 6.

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