How do you graph and list the amplitude, period, phase shift for $y=2/3tan(theta/3)$ ?

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Answer 1 · 2018-03-21T09:45:50

$tan (theta) " function doesn't have amplitude"$

$"Period " = 3 pi$

$"Phase Shift " = 0, " Vertical Shift " = 0$

Standard Form $y - a tan (Bx - C) + D$

Given $y = (2/3) tan (theta/3)$

$Amplitude = |A| = "None"$ as $tan (theta) "function doesn't have amplitude"$

$"Period " = pi / |B| = pi / (1/3) = 3 pi$

$"Phase Shift " = -C / B = 0$

$"Vertical Shift " = D = 0$
graph{(2/3)tan(x/3) [-10, 10, -5, 5]}

How do you graph and list the amplitude, period, phase shift for y=2/3tan(theta/3)y=2/3tan(theta/3)?