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Home > PC3 > Chapter 12 > Lesson 12.1.2 > Problem 12-32

12-32.

For each graph below, write two equations, one that uses sine and one that uses cosine, that will generate the graph.

  1. Periodic curve, x axis scaled from negative 4 pi to 4 pi, with 4 visible turning points at (negative 3 pi, comma negative 1), (negative pi, comma negative 7), (pi, comma negative 1), & (3 pi, comma negative 7).

    The sine function does not need a horizontal shift.
    The cosine function needs to be shifted units left.

  1. Periodic curve, x axis scaled from negative pi to pi, with 5 visible turning points at (negative pi, comma negative 1), (1 half pi, comma 3), (0, comma negative 1), (1 half pi, comma 3),  & (pi, comma negative 1).

    The sine needs to be shifted  units left. 

    The cosine needs to be reflected vertically.