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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. Added to the graph, 2 vertical dashed lines at, x = negative 2, & at, x = 3.

    Since and , mark the points that "stay in place" on the graph. The following Points highlighted: (negative 3, comma negative 1), (negative 1, comma 1), (0, comma 1), (1, comma 1), & (5, comma negative 1).

    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.