How do you graph #y=-1/4tan8pix#?

1 Answer
Jul 11, 2018

As Below.

Explanation:

Standard form of tangent function is #y = A tan (Bx - C) + D#

#"Given : " y = -(1/4) tan (8pi x)#

#A = -1/4, B = 8 pi, C = D = 0#

#Amplitude = |A| = "NONE for tangent function"#

#"Period " = pi / |B| = (pi)/(8pi) = 1/8#

#"Phase Shift " = -C / B = 0, " No Phase Shift"##

#"Vertical Shift " = D = 0, " No Vertical Shift"#

graph{-(1/4) tan(8 pi x) [-10, 10, -5, 5]}