Posted by linda on Saturday, November 15, 2008 at 6:21pm.
sure hope they have a rest-room on that ferris wheel if it takes 12 hours to make one rotation.
anyway, I know that the basic shape could be y = 8sin(pi/6)t.
since period = 2pi/k for y = sin kt
and 2pi/k = 12, so k=pi/6
I then shifted this vertically by 9 m to have the person 1 m above the x-axis at the minimum height
But I want him to be only 1 m high when t=0 so I shifted the graph to the right by 3 hours
which gave me y = 8 sin (pi/6)(t - 3) + 9
testing:
t=0 y = 1
t=3 y = 9
t=6 y = 17 , maximum height
t=9 y = 9
t= 12 y = 1, it works!!!
i dont get it. the answer is right but how do you know to shift the graph right by 3 hrs?
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