What is the midline equation of the function h(x)=-4sin(x-(pi)/(4))? y=

Definition of Midline: The midline of a sinusoidal function such as h(x) = -4sin(x - (pi)/4) is the horizontal line that passes through the vertical center of the sinusoidal wave. The midline does not depend on the phase shift or the frequency of the sine function, but rather on the vertical shift and the amplitude. Since there is no vertical shift given in the equation and the amplitude is -4, the midline is at the average of the maximum and minimum values of the function. The maximum value is the amplitude, and the minimum value is the negative of the amplitude. In this case, the amplitude is -4, so the maximum value is -4 and the minimum value is 4 (since the negative of -4 is 4). The midline is the average of -4 and 4. Calculation: Midline = (Maximum value + Minimum value) / 2 = (-4 + 4) / 2 = 0 / 2 = 0Calculation of Midline: Since the midline is a horizontal line and its value is 0, the equation of the midline is simply y = 0.

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What is the midline equation of the function

h(x)=-4sin(x-(pi)/(4))?

y=

What is the midline equation of the function $\newline$ $h(x)=-4 \sin \left(x-\frac{\pi}{4}\right) ?$ $\newline$ $y=$

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Q. What is the midline equation of the function

\newline

h(x)=-4 \sin \left(x-\frac{\pi}{4}\right) ?

\newline

y=

Definition of Midline: The midline of a sinusoidal function such as $h(x) = -4\sin(x - \frac{\pi}{4})$ is the horizontal line that passes through the vertical center of the sinusoidal wave. The midline does not depend on the phase shift or the frequency of the sine function, but rather on the vertical shift and the amplitude. Since there is no vertical shift given in the equation and the amplitude is $-4$ , the midline is at the average of the maximum and minimum values of the function. The maximum value is the amplitude, and the minimum value is the negative of the amplitude. In this case, the amplitude is $-4$ , so the maximum value is $-4$ and the minimum value is $4$ (since the negative of $-4$ is $4$ ). The midline is the average of $-4$ and $4$ . Calculation: Midline = $(\text{Maximum value} + \text{Minimum value}) / 2 = (-4 + 4) / 2 = 0 / 2 = 0$
Calculation of Midline: Since the midline is a horizontal line and its value is $0$ , the equation of the midline is simply $y = 0$ .