characteristics of the wave form of y = sinx?

Question

math portfolio for IB. need help! characteristics of the wave form of the graph y = sinx and similar graphs such as y = 2sinx and y = 1/3sinx

Answer 1

well the wave will follow this form Asin(wx + B)
A= amplitude = maximum height of the wave from 0
w = frequency factor = if w = 1 then the period is 2pi. If w = 2, then the period is only pi, and so fort
B = phase shift = if your wave does not start at 0, but starts at something other than 0, like pi, the graph of the sine curve will be shifted to accommodate the change.

With the ones you're talking about the only difference is in amplitude. So the graphs will all look the same, but one will peak at 1/3, one at 1 and one at 2

Answer 2

It looks like you're dealing with the generic problem of y = a*sin (b*x). Try to figure this out for yourself. A graphing calculator would be helpful. Think in terms of how a and b affect the amplitude, period, and frequency of the wave. Once you see what the graph looks like, see if you can justify why the changes happened.

Just take a crack at it for straight up asking for an answer. Hopefully this is enough to guide.

Answer 3

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Answer 4

the wave starts from (0,0)
the other factors depend on the coefficient of sinx and the x in the sin

eg y= sin2x
y= 2sinx

both start from (0,0) but are very different waves.