What is the shift f(x)=3+2sin(6x+pi/4) ?

The shift f(x)=3+2sin(6x+pi/4) is Phase:-pi/(24), Vertical:3

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shift f(x)=3+2sin(6x+pi/4)

shift

f (x) = 3 + 2 sin (6 x + \frac{π}{4})

Phase : - \frac{π}{24}, Vertical : 3

Solution steps

f (x) = 3 + 2 sin (6 x + \frac{π}{4})

g (B x - C) = sin (6 x + \frac{π}{4}), B = 6, C = - \frac{π}{4}, D = 3

Therefore, the phase shift

\frac{C}{B}

\frac{- \frac{π}{4}}{6}

- \frac{π}{24}

The vertical shift

D

3

3

What is the shift f(x)=3+2sin(6x+pi/4) ?
The shift f(x)=3+2sin(6x+pi/4) is Phase:-pi/(24), Vertical:3