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

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

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

shift

f (x) = - 3 sin (x - \frac{π}{4}) + 2

Phase : \frac{π}{4}, Vertical : 2

Solution steps

f (x) = - 3 sin (x - \frac{π}{4}) + 2

g (B x - C) = sin (x - \frac{π}{4}), B = 1, C = \frac{π}{4}, D = 2

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{π}{4}}{1}

\frac{π}{4}

The vertical shift

D

2

2

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