you have the amplitude and vertical shift correct.
the height is a function of distance traveled, so the period is equal to one circumference ...
so ...
now you have this ...
if you think about it, you probably can reason why C = 0.
Here is the question directly from the book:
A contestant on a game show spins a wheel that is located on a plane perpendicular to the floor. He grabs the only red peg on the circumference of the wheel, which is 1.5 m above the floor (the peg is) and pushes it downward. The peg reaches a min height of 0.25 m and a max height of 2.75 m above the floor. Sketch two cycles of the graph representing the height above the ground as a function of the total distance moved. Then determine the equation of the sine function.
So I sketched it, (we are using radians now... Grade 12) and I have most of the equation except the horizontal shift...
y=-1.25sin(x- ?)+1.5
What is the question mark? I don't even know where to beign on that one...
Please help! aha.
Mike