### Home > PC > Chapter 7 > Lesson 7.1.2 > Problem 7-28

7-28.

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 -values are in inches and the

*-values are in seconds. Complete the following problems based on the graph.*

How long does it take to complete one cycle?

How long is the string?

Find an equation that will model the height of the yo-yo over time.

Find:

1. Amplitude

2. Vertical Shift

3. Horizontal Shift

4.(frequency)

Note: part (a) is the period and

Test your answer in your graphing calculator.Find the first two times when the yo-yo was exactly

inches above the ground. Find where the function crosses

.

Note: The first two times may have occurred before the curve in the given sketch.