Question

What is the period and amplitude of y=3tan(2/3x-pi/6)?

Thanks!

Answer 1

I do not think amplitude means much for a tangent function which goes to infinity twice a period so I would not say 3 but maybe undefined.

when the x term increases to 2 pi from 0 we have gone a period so
(2/3) x = 2 pi
x = 3 pi when we have gone a period
period = 3 pi

Answer 2

Sorry
tangent period is pi, not 2 pi so
(2/3) x = 1 pi
x = 3 pi/2 = period