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

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

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shift y=3sin(3x-pi/2)

shift

y = 3 sin (3 x - \frac{π}{2})

Phase : \frac{π}{6}, Vertical : 0

Solution steps

f (x) = 3 sin (3 x - \frac{π}{2})

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

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{π}{2}}{3}

\frac{π}{6}

The vertical shift

D

0

0

y = - 3 x + 6

y = 3 x^{(2)} + 12 x + 3

f (x) = 2 x^{3}

f (x) = x^{2} - 3 x - 40

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

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