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Math Help - graphs of waves

  1. #1
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    graphs of waves

    could somebody please show me how to draw graphs or explain in words for:

    a). 4 sin (2t + pi/3)
    b). 5 sin (2t - pi/5)
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    Quote Originally Posted by hunterage2000 View Post
    could somebody please show me how to draw graphs or explain in words for:

    a). 4 sin (2t + pi/3)
    b). 5 sin (2t - pi/5)
    for y=Asin(Bt+C)

    • A is the amplitude of the graph. This will determine the values on the y axis the graph will reach.
    • B is the 'compression' of the graph. If B>1 the graph will be squashed together on the x-axis by a factor of B. If B<1 then it will be spread out by a factor of B
    • C is the shift on the x-axis. If C>0 the shift will be towards the left (ie more negative) by C units. If C<0 the shift will be towards the right by C units



    edit:

    The first graph shows the effects of various transformations
    The second graph shows the graphs you need to draw with sin(x) for comparative purposes
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