MathCastle
TrigonometryMediumGraphs of Sine and Cosine

Graphs of Sine and Cosine · Medium problem

What is the phase (horizontal) shift of y=−12sin⁡(2x−π)−4y = -\dfrac{1}{2}\sin\left(2x - \pi\right) - 4 relative to y=sin⁡xy = \sin x? Give the signed shift as an exact multiple of π\pi (positive means to the right).