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TrigonometryMediumGraphs of Sine and Cosine

Graphs of Sine and Cosine · Medium problem

What is the phase (horizontal) shift of y=52sin⁡(3x+π6)+2y = \dfrac{5}{2}\sin\left(3x + \dfrac{\pi}{6}\right) + 2 relative to y=sin⁡xy = \sin x? Give the signed shift as an exact multiple of π\pi (positive means to the right).