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Home > A2C > Chapter 13 > Lesson 13.2.1 > Problem 13-100

13-100.

Each labeled point on the graph at right is either a maximum or a minimum. Homework Help ✎graph

  1. Find the period and amplitude of the graph.

    Period: How far is it between consecutive maximums or minimums?
    Amplitude: How “tall” is the graph? Divide this answer by .

  1. Find an equation for the graph.

    Find the vertical and horizontal shifts. For the vertical shift, what number is in the middle of and ?

    Review the Math Notes box in Lesson 7.2.4 for help with the general equation of a sine or cosine graph.
    In this case, it is more convenient to use cosine because you know a maximum point.

  2. Use one of the labeled points to check your equation.

    Substitute the values for each of the points into the equation to verify that it is correct.