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TrigonometryMediumGraphs of the Other Trigonometric Functions

Graphs of the Other Trigonometric Functions · Medium problem

By how much is the graph of y=2tan⁡(2x−2π3)+2y = 2\tan\left(2x - \dfrac{2\pi}{3}\right) + 2 shifted horizontally compared with y=2tan⁡(2x)+2y = 2\tan\left(2x\right) + 2? Give the signed shift as an exact multiple of π\pi (positive means to the right).