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Home > PC3 > Chapter 6 > Lesson 6.1.1 > Problem 6-21

6-21.

Describe the transformations and sketch the graphs of the following trigonometric functions.  

  1.   

    This is a cosine graph with an amplitude of and shifted up units.
    Begin by sketching the midline at , then boundary lines units above and units below the midline.

    The function is vertically reflected and has a period of , so sketch an inverted cosine function with the correct period in between the boundary lines.

  1.   

    This is a sine graph with an amplitude of and shifted down unit.
    Begin by sketching the midline at , then boundary lines units above and units below the midline.

    The period of the function is unchanged from the parent function, but this curve is shifted units to the right.