### 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 *from the starting point* to the height of the rider above or below the ground.

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 or

*could be the parent graph for the equation.*

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 () is

*) is*

*) is*

Substitute the parameters into the general equation,

*.*

Use a graphing calculator to see that your equation matches your graph.