What is the shift y=-2cos(2x-pi/4)-3 ?

The shift y=-2cos(2x-pi/4)-3 is Phase: pi/8 , Vertical:-3

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shift y=-2cos(2x-pi/4)-3

shift

y = - 2 cos (2 x - \frac{π}{4}) - 3

Phase : \frac{π}{8}, Vertical : - 3

Solution steps

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

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

Therefore, the phase shift

\frac{C}{B}

\frac{\frac{π}{4}}{2}

\frac{π}{8}

The vertical shift

D

- 3

- 3

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

\frac{2 x + 1}{5}

(- 10, - 3), (- 7, - 10)

(- 6) (2.5)

x^{3} - 12 x

What is the shift y=-2cos(2x-pi/4)-3 ?
The shift y=-2cos(2x-pi/4)-3 is Phase: pi/8 , Vertical:-3