Home > INT3 > Chapter 9 > Lesson 9.2.1 > Problem 9-101
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
When they have traveled
After traveling
After moving
They return to
Make a table of values then sketch the graph.
x (radians) | y (feet) |
---|---|
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.