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March 14th, 2017, 02:37 AM   #1
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Graph of sine function

- How would I graph 5- 3sin (2x)


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Kirtana Devaraj is offline  
 
March 14th, 2017, 03:52 AM   #2
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I assume you understand how to plot this graph by calculation so are you studying curve sketching?

1) Identify the variables - these show the shape of the graph.

2) Identify the constants - these move the curve about on the graph paper up and down - and squash or stretch the curve.

So the variable is x and the curve is a sine curve.
But it is squashed along the horizontal or x axis by the constant 2 since it crosses zero and reaches max and min twice as often .
So what are the x values for these points?
Also it is stretched vertically or along the y axis by the constant -3.
The negative sign tells you that the sine curve is flipped over about the x axis.

Finally the 5 tells you that it is shifted vertically up by 5 so the resulting wiggle is along the line y = 5, rather than the line y = 0 or the x axis.
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March 15th, 2017, 02:06 AM   #3
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Thank you! That helps.
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