Question

5. Plot sin(x+pi/3) and sin(x-pi/3). How do they compare?

Answer 1

Given the functions:

$\begin{gathered} y=sin(x+\frac{\pi}{3}) \\ \\ \\ y=sin(x-\frac{\pi}{3}) \end{gathered}$

Let's plot both equations and compare the graphs.

We have:

Graph of the first equation:

• Graph of second equation:

Using the graph of the parent function, y=sin(x), the graph of y = sin(x+π/3) shifted to the left by π/3 units while the graph of y = sin(x-π/3) shifted to the right by π/3.

Both graphs have the same period and the same amplitude.

ANSWER:

The graph of y = sin(x+π/3) shifted to the left by π/3 units while the graph of y = sin(x-π/3) shifted to the right by π/3 from the parent function y=sinx.

The graphs have the same period and the same amplitude.