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What is the midline equation of the function {:[g(x)=-sin(8x-3)+5?],[y=◻]:}

What is the midline equation of the function g(x)=−sin⁡(8x−3)+5 g(x)=-\sin(8x-3)+5 ? y=□ y=\Box

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Full solution

Q. What is the midline equation of the function g(x)=−sin⁡(8x−3)+5 g(x)=-\sin(8x-3)+5 ? y=□ y=\Box
  1. Definition of Midline: The midline of a trigonometric function is the horizontal line that represents the average value of the function over one period.
  2. Calculation for g(x)g(x): For g(x)=−sin⁡(8x−3)+5g(x)=-\sin(8x-3)+5, the midline is the constant term in the equation, which is 55.
  3. Midline Equation: So, the midline equation is y=5y=5.

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