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Home > PC3 > Chapter 4 > Lesson 4.1.3 > Problem 4-48

4-48.

Write an equation for each graph below.  

  1. Repeating wave curve, x axis scaled from negative 4 pi to 4 pi, with 5 visible turning points: first at (negative 4 pi, comma 1), second at (negative 2 pi, comma negative 3), continuing in that pattern, with y intercept at (0, comma 1).

    This equation is most easily written as a cosine function:
    1. Where is the midline?
    2. What is the amplitude?
    3. Identify the period and calculate "".

    Substitute the information in the general equation for cosine.

  1. Repeating wave curve, x axis scaled from negative 2 pi to 3 pi, with 5 visible turning points: first at (negative 3 halves pi, comma negative 1), second at (1 half pi, comma 3), continuing in that pattern, with y intercept at (0, comma 1).

    This equation is most easily written as a negative sine function:
    1. Where is the midline?
    2. What is the amplitude?
    3. Identify the period and calculate "".

    Substitute the information in the general equation for sine.

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