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

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

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

shift

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

Phase : \frac{π}{4}, Vertical : 2

Solution steps

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

g (B x - C) = cot (3 x - \frac{3 π}{4}), B = 3, C = \frac{3 π}{4}, D = 2

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{3 π}{4}}{3}

\frac{π}{4}

The vertical shift

D

2

2

f (x) = - 4 sin (2 π x)

f (x) = ln (x + 4)

(6, 7), (6, - 5)

y = 2 x - 2

(5, 4), (2, 4)

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