The CPM Amusement Park has decided to imitate The Screamer but wants to make their ride even better. Their ride will consist of a circular track with a radius of
Begin by sketching a unit circle to model the situation.
When the passenger boards at
Make a table of values then sketch the graph.
Determine the parameters of the equation.
As with any periodic function, either
Since we have started at a high point, we will use cosine as the parent.
Determine the horizontal and vertical shifts and the amplitude.
The horizontal shift (
Substitute the parameters into the general equation,
Use a graphing calculator to see that your equation matches your graph.