# What are the important points to graph y=sin(3x-pi/3)?

Aug 6, 2018

As below.

#### Explanation:

Standard form of a sine function is $y = A \sin \left(B x - C\right) + D$

$\text{Given } y = \sin \left(3 x - \frac{\pi}{3}\right)$

$A = 1 , B = 3 , C = \frac{\pi}{3} , D = 0$

Important points to graph are Amplitude, Period, Phase Shift and Vertical Shift.

$A m p l i t u \mathrm{de} = | A | = 1$

"Period ' = (2pi) / |B| = (2pi) / 3

$\text{Phase Shift " = -C / B = -9pi/3) / 3 = -pi/9, color(red)((pi/9) " to the LEFT}$

$\text{Vertical Shift } = D = 0$

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