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

1 Answer
Mar 21, 2018

Answer:

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

#"Period " = 3 pi#

#"Phase Shift " = 0, " Vertical Shift " = 0#

Explanation:

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]}