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TrigonometryMediumGraphs of Sine and Cosine

Graphs of Sine and Cosine · Medium problem

What is the phase (horizontal) shift of y=−sin⁡(x+π2)−3y = -\sin\left(x + \dfrac{\pi}{2}\right) - 3 relative to y=sin⁡xy = \sin x? Give the signed shift as an exact multiple of π\pi (positive means to the right).