Suppose a person boards at the bottom of a Ferris Wheel and rides around for $35$ seconds. See the graph below. At bottom left is a diagram of the Ferris Wheel, where the triangle shows the position of rider. Using the sliders at right, you can adjust things like:

• the wheel’s radius
• the height of the loading platform (which moves the wheel up or down)
• the period of the wheel.

The graph above shows the rider’s height above the ground (in meters) as they ride on the wheel for $35$ seconds.

1. For a person riding a Ferris Wheel, what causes a vertical stretch for the graph?
   Answer: ? Changing the radius of the wheel Changing the platform height Changing the period
2. What causes a vertical shift for the graph?
   Answer: ? Changing the radius of the wheel Changing the platform height Changing the period
3. What causes a horizontal stretch for the graph?
   Answer: ? Changing the radius of the wheel Changing the platform height Changing the period