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TrigonometryMediumGraphs of Sine and Cosine

Graphs of Sine and Cosine · Medium problem

What is the phase (horizontal) shift of y=32cos⁡(2x−π6)−4y = \dfrac{3}{2}\cos\left(2x - \dfrac{\pi}{6}\right) - 4 relative to y=cos⁡xy = \cos x? Give the signed shift as an exact multiple of π\pi (positive means to the right).