Question

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

Answer 1

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]}