Q. What is the midline equation of the functionh(x)=−3cos(πx+2)−6?y=
Problem: The question_prompt: What is the midline equation of the function h(x)=−3cos(πx+2)−6?
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.
Finding the Vertical Shift: To find the midline, we look at the vertical shift of the function h(x)=−3cos(πx+2)−6. The vertical shift is given by the constant term at the end of the function, which in this case is −6.
Midline Equation: The midline equation is therefore a horizontal line at y=−6, since this is the vertical shift from the standard cosine function.
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