What is the shift f(x)=-3sin(1/2 x-pi/4)+1 ?

The shift f(x)=-3sin(1/2 x-pi/4)+1 is Phase: pi/2 , Vertical:1

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shift f(x)=-3sin(1/2 x-pi/4)+1

shift

f (x) = - 3 sin (\frac{1}{2} x - \frac{π}{4}) + 1

Phase : \frac{π}{2}, Vertical : 1

Solution steps

f (x) = - 3 sin (\frac{1}{2} x - \frac{π}{4}) + 1

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

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{π}{4}}{\frac{1}{2}}

\frac{π}{2}

The vertical shift

D

1

1

f (x) = 3 + 2 x - x^{2}

f (x) = - x^{2} + 3 x + 1

(2, 4), (4, 2)

f (x) = \frac{10}{9} x + 11

f (x) = \frac{3 x}{x ^{2} - x - 2}

What is the shift f(x)=-3sin(1/2 x-pi/4)+1 ?
The shift f(x)=-3sin(1/2 x-pi/4)+1 is Phase: pi/2 , Vertical:1