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Home > PC3 > Chapter 5 > Lesson 5.2.2 > Problem 5-74

5-74.

Using the graph of at right, sketch a graph of each of the following transformations.   

  1. 1. Reflect vertically (across the -axis).
    2. Stretch vertically by a factor of .

  2. 1. Reflect horizontally (across the -axis).
    2. Shift up unit.

  3. Sketch the vertical asymptotes.

    Since and , mark the points that "stay in place" on the graph.

    Where the original function is positive, the reciprocal function will also be positive.

    Where the original function is negative, the reciprocal function will also be negative.