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Home > A2C > Chapter 7 > Lesson 7.1.2 > Problem 7-23

7-23.

Find an equation that will generate each graph.

  1. Downward parabola, vertex at (negative 4, comma 2), with points at (negative 5, comma 0), & (negative 3, comma 0).

    What kind of graph is this?

    What are the -intercepts and the vertex?

    Use the vertex to write equation in graphing form.
    Then substitute one of the -intercepts in for and to solve for .

  1. Decreasing rational function, asymptotes: x axis &, x, = 2, left section, opens down, is below x axis & left of, x, = 2, & passes through the point (1, comma negative 1). Right section, opens up, is above, x axis, & right of, x, = 2, & passes through the point (3, comma 1).

    The parent graph is  and the locator point is .

  1. Decreasing cubic function, centered at (0, comma 3), passing through the point, (1, comma 2).

    See part (a).

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