What is the shift 4cos(1/3 x+1/4 pi)+1 ?

The shift 4cos(1/3 x+1/4 pi)+1 is Phase:-(3pi)/4 , Vertical:1

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shift 4cos(1/3 x+1/4 pi)+1

shift

4 cos (\frac{1}{3} x + \frac{1}{4} π) + 1

Phase : - \frac{3 π}{4}, Vertical : 1

Solution steps

Simplify

4 cos (\frac{1}{3} x + \frac{1}{4} π) + 1 : 4 cos (\frac{1}{3} x + \frac{π}{4}) + 1

f (x) = 4 cos (\frac{1}{3} x + \frac{π}{4}) + 1

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

Therefore, the phase shift

\frac{C}{B}

\frac{- \frac{π}{4}}{\frac{1}{3}}

- \frac{3 π}{4}

The vertical shift

D

1

1

What is the shift 4cos(1/3 x+1/4 pi)+1 ?
The shift 4cos(1/3 x+1/4 pi)+1 is Phase:-(3pi)/4 , Vertical:1