How do you translate the graph of y=sin(x-pi/3) ?

1 Answer
Jul 25, 2018

Below

Explanation:

y=sin(x-pi/3) is your y=sinx graph but shifted to the right by pi/3 units

y=asin(nx+b) is the general form
a is the amplitude
n is used to find the period of the function
b is the shift to left or right

Therefore, wtih reference to the general form, y=sin(x-pi/3 has an amplitude of 1, a shift to the right by pi/3 units.

The period is found using this equation
T=(2pi)/n
T=(2pi)/1
T=2pi
That means the graph finishes one cycle in 2pi

Below is y=sinx

graph{sinx [-10, 10, -5, 5]}

Below is y=sin(x-pi/3). Notice that it is exactly the graph y=sinx but moved to the right by pi/3 units

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