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What is the midline equation of y = -9 cos(pi/2x -6) +8

User ATpoint
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1 Answer

3 votes

Given a general cosine function as shown below


y=a\cos (bx+c)+d
\begin{gathered} \text{where,} \\ d\Rightarrow\text{midline of the equation} \end{gathered}

From the equation provided in the question


\begin{gathered} y=-9\cos ((\pi)/(2)x-6)+8 \\ \end{gathered}
\begin{gathered} \text{comparing the general cosine formula with the cosine formula given, we have} \\ a=-9 \\ b=(\pi)/(2) \\ c=-6 \\ d=8 \end{gathered}

Since the midline is d, then the midline equation will be


y=8

Hence, the midline equation is y = 8

User Tobias Marschall
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