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Home > PC3 > Chapter 2 > Lesson 2.3.1 > Problem 2-129

2-129.

​Graph two complete cycles of each of the following functions   

  1.  

    Sketch a sine function shifted down units. Do not scale the axes to begin with.

    Periodic curve visible only in fourth quadrant, with 4 visible turning points, starting halfway down on y axis, then rising & falling equal amounts from starting y value.

    This function has a period of , so add a scale to your axes to match this characteristic as well as the amplitude.

    Same Periodic curve, with x axis scaled from 0 to 2 pi, y axis scaled from negative 6 to 0, with 4 visible turning points: first, at (1 third pi, comma negative 4), second, at (2 thirds pi, comma negative 6).

  1.  

    Follow a process similar to the steps given in part (a).
    This time begin by sketching a cosine function that is shifted to the left.

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