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What is the vertical shift of y = 5 + 8 sin(56+ ³T)?4A. 5OB. 8OC. 320D. noneReset Selection

What is the vertical shift of y = 5 + 8 sin(56+ ³T)?4A. 5OB. 8OC. 320D. noneReset-example-1
User Genegc
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1 Answer

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Given,

The equation of the function is,


y=5+8sin(5\theta+(3\pi)/(4))

Required

The vertical shhift of the function.

The standard form of the function is,


\begin{gathered} y=Asin(Bx+C)+D \\ Here\text{ A = amplitude} \\ B=period \\ C\text{ = phase shift} \\ D=vertical\text{ shift} \end{gathered}

Comapring the given function with standard form then it obtain that the vertical shift is of 5 units.

Hence, the vertical shift of the curve is 5 units.