Question

How do you graph `y =tan (3x + pi/3)`?

Answer 1

As below.

Explanation:

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

`"Given " y = tan (3x + pi/3)`

#"Amplitude " = |A| = color(green)("None") "for tangent function"

`"Period " = pi / |B| = pi/3`

`"Phase Shift " = -C / B = -pi/3, color(green)(pi/3) "to the left"`

`"Vertical Shift " = D = 0`

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