Q. 25 - Precalculus Enhanced with Graphing Utilities

Question

graph the function 

$y= 2\sin (\frac{x}{3}-\frac{\pi }{6})$

Step-by-Step Solution

Answer

The graph of given function is :

Step 1. Given function

$y= 2\sin (\frac{x}{3}-\frac{\pi }{6})$

Step 2. Tracing Graph

 Starting with tracing graph of

$y=\sin x$

 Now tracing the graph of 

$y=\sin \left(\frac{x}{3}\right)$

 Now tracing the graph of 

$y=\sin (\frac{x}{3}-\frac{\pi }{3})$

Now tracing the graph of 

$y=2\sin (\frac{x}{3}-\frac{\pi }{6})$