Find Amplitude, Period, and Phase Shift y=tan(x-pi/4)

Problem

y=tan(x−π/4)

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 negative infinity to positive infinity, so the amplitude is undefined (or none).

3. Calculate the period using the formula P=π/|B| In this equation, B=1

P=π/1

P=π

4. Identify the phase shift from the value of C in the expression (x−C) Here, C=π/4

Phase Shift=π/4

Final Answer

Amplitude: None, Period: *π, Phase Shift: π/4

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