What is the shift 3sin(1/4 x-5/3 pi)-3 ?

The shift 3sin(1/4 x-5/3 pi)-3 is Phase:(20pi)/3 , Vertical:-3

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shift 3sin(1/4 x-5/3 pi)-3

shift

3 sin (\frac{1}{4} x - \frac{5}{3} π) - 3

Phase : \frac{20 π}{3}, Vertical : - 3

Solution steps

Simplify

3 sin (\frac{1}{4} x - \frac{5}{3} π) - 3 : 3 sin (\frac{1}{4} x - \frac{5 π}{3}) - 3

f (x) = 3 sin (\frac{1}{4} x - \frac{5 π}{3}) - 3

g (B x - C) = sin (\frac{1}{4} x - \frac{5 π}{3}), B = \frac{1}{4}, C = \frac{5 π}{3}, D = - 3

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{5 π}{3}}{\frac{1}{4}}

\frac{20 π}{3}

The vertical shift

D

- 3

- 3

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

f (x) = g (x) = - 3 (x + 6)

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

\frac{5}{9} (x - 32)

y = \frac{x}{4} - 1, (- 4, 5)

What is the shift 3sin(1/4 x-5/3 pi)-3 ?
The shift 3sin(1/4 x-5/3 pi)-3 is Phase:(20pi)/3 , Vertical:-3