Find Amplitude, Period, and Phase Shift y=tan(2x)

Problem

y=tan(2*x)

Solution

1. Identify the standard form of the tangent function, which is y=A*tan(B*(x−C))+D

2. Determine the amplitude. For the tangent function y=tan(x) the graph extends from −∞ to ∞ vertically, so the amplitude is undefined.

3. Calculate the period using the formula P=π/|B|

4. Substitute B=2 into the period formula.

P=π/2

5. Identify the phase shift C Since there is no horizontal shift inside the argument of the tangent function, the phase shift is 0

Final Answer

Amplitude: Undefined, Period: π/2*, Phase Shift: *0

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