SOLUTION: Hello, This week we are learning how to graph the graphs of sin and cosine. I need help with graphing this one particular equation which says:y=5sin 3x I know how to do the proces

Question 902810: Hello, This week we are learning how to graph the graphs of sin and cosine. I need help with graphing this one particular equation which says:y=5sin 3x
I know how to do the process, but I am having trouble dealing with the 3x part? Like I realize the 5 is my amplitude, the vertical shift is 0, and my period is 2pi/1, but I don't know what my phase shift is. Can anyone help? Thanks in advance.
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!

The red line is the graph of 5sin(x)
The green line is the graph of 5sin(3x)
With the sin(3X), you are actually dividing the period by 3.
An example of a phase shift would be sin(x-2) would shift the graph to the right 2 units.
Here is a link to purplemath that has a helpful description on graphing trigonometric functions.
http://www.purplemath.com/modules/grphtrig.htm
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