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12-55.

Quickly sketch each of the following functions.

  1. Continuous, curved graph, increasing from bottom left, turning at the following approximate points: high vertices: (1, comma 0), & (4, comma 10), & low vertices, (2, comma negative 10) & (5, comma 0), with x intercepts, at 2, 3, & 5.

  2. How is this different from the function in part (a)?
    What transformation is created by a negative sign?

  3. Express in terms of .

    Look at your graphs from parts (a) and (b).
    What do they tell you about the relationship between the two functions?