Scaling and vertical translation of tan

Scaling and vertical translation of tan

5 marks
TGM Original
For y=2tan(14x)+3, where x is measured in radians, state the least positive period, the amplitude if one exists and the midline. Describe its relationship to y=tan x.

Solution:

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Answer:\(T=4 \pi\); no amplitude; \(y_{\mathrm{mid}}=3\). Horizontal scale factor \(4\); vertical scale factor \(2\); translate up \(3\).

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