CPM Homework Banner
C-53.

Based on the graph, give a possible equation for the parabola.

For additional help, see problem 11-13.

  1. An upward parabola with vertex in quadrant 4 going through the points  (0, comma 0) and (4, comma 0).

    The -coordinates of the -intercepts are roots of the equation. If you know the roots, can you find the factors?

    The factors are and .

  1. An upward parabola with vertex on the negative y axis going through the points (negative 2, comma 0) and (2, comma 0).

    See the hints in part (a).

  1. An upward parabola with vertex in the fourth quadrant going through the points (negative 0.5, comma 0) and (1.5, comma 0).

    Instead of using fractions, multiply each factor by the fraction's denominator.

    The factors can be written as
    and .