# define the amplitude, period, frequency, horizontal shift, and vertical shift in the following equation, then graph. y=2.5sin(3x-pi)I was able to define all the parts in the question, and the...

define the amplitude, period, frequency, horizontal shift, and vertical shift in the following equation, then graph.

y=2.5sin(3x-pi)

I was able to define all the parts in the question, and the answer is in the back of the book, so I know I got the numbers right, (amp=2.5, period=2pi/3, frequency=3/2pi, horizontal shift=pi/3 and vertical shift=0). However my graph is not the same as the one the book provides. Could someone show me a correct graph and explain how they did it?

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You are correct, as far as the numerical values of the terms under reference in the problem that you arrived at.

Please check whether your value for any paticular values of x and y ( I mean coordinates) tallies with the book,since you might have drawn some part of the graph, and so apparently the graph may look different even though it is part of the graph itself. Or the values of the coordinates points you worked out may be different and the (points considered in the book are different.

The starting point and the scale you chose also makes the graph differ (flatness and shifts etc) in look.