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

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

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

shift

f (x) = 2 sin (\frac{1}{3} x - π) - 4

Phase : 3 π, Vertical : - 4

Solution steps

f (x) = 2 sin (\frac{1}{3} x - π) - 4

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

Therefore, the phase shift

\frac{C}{B}

\frac{π}{\frac{1}{3}}

3 π

The vertical shift

D

- 4

- 4

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