Question

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

Answer 1

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.