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What is the midline equation of the function

h(x)=-3cos(pi x+2)-6?

y=

What is the midline equation of the function\newlineh(x)=3cos(πx+2)6? h(x)=-3 \cos (\pi x+2)-6 ? \newliney= y=

Full solution

Q. What is the midline equation of the function\newlineh(x)=3cos(πx+2)6? h(x)=-3 \cos (\pi x+2)-6 ? \newliney= y=
  1. Problem: The question_prompt: What is the midline equation of the function h(x)=3cos(πx+2)6h(x)=-3\cos(\pi x+2)-6?
  2. Definition of Midline: The midline of a cosine function is the horizontal line that represents the average value of the function, or the vertical shift from the standard position of the cosine function.
  3. Finding the Vertical Shift: To find the midline, we look at the vertical shift of the function h(x)=3cos(πx+2)6h(x)=-3\cos(\pi x+2)-6. The vertical shift is given by the constant term at the end of the function, which in this case is 6-6.
  4. Midline Equation: The midline equation is therefore a horizontal line at y=6y = -6, since this is the vertical shift from the standard cosine function.

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