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

The shift f(x)=2sin(2/3 x-pi/6) is Phase: pi/4 , Vertical:0

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

shift

f (x) = 2 sin (\frac{2}{3} x - \frac{π}{6})

Phase : \frac{π}{4}, Vertical : 0

Solution steps

f (x) = 2 sin (\frac{2}{3} x - \frac{π}{6})

g (B x - C) = sin (\frac{2}{3} x - \frac{π}{6}), B = \frac{2}{3}, C = \frac{π}{6}, D = 0

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{π}{6}}{\frac{2}{3}}

\frac{π}{4}

The vertical shift

D

0

0

f (x) = (x + 4) (x - 1)^{2}

f (x) = \frac{x ^{2} - 3 x}{x + 4}

y = 3 x - 5

f (x) = - 2 x + 5

What is the shift f(x)=2sin(2/3 x-pi/6) ?
The shift f(x)=2sin(2/3 x-pi/6) is Phase: pi/4 , Vertical:0