The graph on the left is of the basic sin function. The sin function has a period of 2π and an amplitude of one.

The graph on the right is the transformed sin function    y = 2 sin 3x   The amplitude of this function is 2 and the period is the period of the sine function(2π) divided by the coefficient of the angle.  
In this case (2π)/3  So the graph of the transformed sin function shows that the period is from zero to 2.09 radians instead of zero to 6.28 radians. The amplitude of the sin function is always the absolute value of the number in front of the sin.


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