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Home > PC3 > Chapter 5 > Lesson 5.1.3 > Problem 5-34

5-34.

​ Write an equation for each function graphed below.   

  1. Decreasing curve, starting at upper left, changing from  opening up, to opening down, at the point (2, comma negative 3), passing through the points (1, comma negative 2), & (3, comma negative 4).

    What parent function resembles this curve?

    Where is the locator point?

    What is the general equation of a cubic function?

    Substitute the locator point for the horizontal and vertical shifts.

    How should the equation show that the curve is reflected vertically?

    A cubic function is a possible answer.

  1. Increasing curve, asymptote at, y = negative 3, passing through the points (2, comma negative 2),  (3, comma negative 1), (4, comma 1), & (5, comma 5).

    Follow a similar procedure as outlined in part (a).