Question

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

Answer 1

Phase shift, period and amplitude.

Explanation:

With the general equation `y=atan(bx-c)+d`, we can determine that `a` is the amplitude, `pi/b` is the period, `c/b` is the horizontal shift, and `d` is the vertical shift. Your equation has all but horizontal shift.

Thus, the amplitude`=3`, period`=pi/2`, and horizontal shift`=pi/6` (to the right).