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What is the midline equation of the function {:[g(x)=3sin(2x-1)+4?],[y=◻]:}

What is the midline equation of the function\newlineg(x)=3sin⁡(2x−1)+4?y=□ \begin{array}{l} g(x)=3 \sin (2 x-1)+4 ? \\ y=\square \end{array}

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Full solution

Q. What is the midline equation of the function\newlineg(x)=3sin⁡(2x−1)+4?y=□ \begin{array}{l} g(x)=3 \sin (2 x-1)+4 ? \\ y=\square \end{array}
  1. Identifying Vertical Shift: In the given function g(x)=3sin⁡(2x−1)+4g(x) = 3\sin(2x - 1) + 4, the vertical shift is represented by the ＂+4＂＂+4＂. This means that the midline is shifted 44 units upwards from the x-axis.
  2. Equation of Midline: Therefore, the equation of the midline is simply y=4y = 4, which is a horizontal line 44 units above the xx-axis.

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