Lauren is playing with a yo-yo and keeping track of its height over time. She has plotted some key points on the graph at right. The
How much time does it take to complete one cycle?
-values to determine this quantity.
How long is the string?
This is the difference in the maximum and minimum heights.
Write an equation that models the height of the yo-yo over time.
2. Vertical Shift
3. Horizontal Shift
Note: Part (a) is the period and
Test your answer in your graphing calculator.
Determine the first two times when the yo-yo is exactly
inches above the ground.
Use a graphing calculator to determine where the function crosses
Note: The first two times may have occurred before the curve in the given sketch.