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

The shift f(x)= 1/2-1/2 cos(2x-pi/4) is Phase: pi/8 , Vertical: 1/2

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

shift

f (x) = \frac{1}{2} - \frac{1}{2} cos (2 x - \frac{π}{4})

Phase : \frac{π}{8}, Vertical : \frac{1}{2}

Solution steps

f (x) = \frac{1}{2} - \frac{1}{2} cos (2 x - \frac{π}{4})

g (B x - C) = cos (2 x - \frac{π}{4}), B = 2, C = \frac{π}{4}, D = \frac{1}{2}

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{π}{4}}{2}

\frac{π}{8}

The vertical shift

D

\frac{1}{2}

\frac{1}{2}

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

f (x) = \frac{( 2 x + 4 )}{( x ^{2} - 16 )}

\frac{X ^{2} + 3 X - 4}{X ^{4} - X ^{3} + X ^{2} - X}

x - 3 + \frac{2}{x + 1}

x^{2} - 3

What is the shift f(x)= 1/2-1/2 cos(2x-pi/4) ?
The shift f(x)= 1/2-1/2 cos(2x-pi/4) is Phase: pi/8 , Vertical: 1/2