Find Amplitude, Period, and Phase Shift y=-cot(x)

Problem

y=−cot(x)

Solution

1. Identify the general form of the cotangent function, which is y=a*cot(b*(x−c))+d

2. Determine the amplitude. For trigonometric functions like cotangent, the amplitude is technically undefined because the range extends to infinity; however, the vertical stretch factor |a| is 1

3. Calculate the period using the formula P=π/|b| Since b=1 the period is π

4. Find the phase shift by identifying the horizontal displacement c Since there is no value subtracted from x inside the function, the phase shift is 0

Final Answer

Amplitude: None, Period: *π, Phase Shift: *0

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