Question

What are the important information needed to graph `y=2 tan(3pi(x) +4)`?

Answer 1

As below.

Explanation:

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

`"Given : " y = 2 tan (3 pi xi) + 4`

`A = 2, B = 3 pi, C = 0, D = 4`

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

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

`"Phase Shift " = -C / B = 0 / (3 pi) = 0, " No Phase Shift"`#

`"Vertical Shift " = D = 4`

graph{2 tan(3 pi x) + 6 [-10, 10, -5, 5]}