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Home > PC > Chapter 7 > Lesson 7.1.2 > Problem 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.

  1. How long does it take to complete one cycle?

    Added to graph, blue horizontal segment on x axis between 1.7 & 2.9.

  2. How long is the string?

    Added to graph, blue vertical segment from (2.25, comma 20), to y = 46.

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

    1. Amplitude
    2. Vertical Shift
    3. Horizontal Shift
    4. (frequency)

    Note: part (a) is the period and
    Test your answer in your graphing calculator.

  4. 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.

First quadrant, x axis scaled from 0 to 3, y axis scaled from 0 to 40, curve starting at highlighted & labeled point (1.7, comma 46), changing from concave down to concave up at (2, comma 35), turning up at (2.25, comma 20), changing from concave up to concave down at approximate point (2.7, comma 35), stopping at highlighted & labeled point (2.9, 46).