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Home > CCA > Chapter 11 > Lesson 11.1.1 > Problem 11-13

11-13.

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

  1. An upward parabola with a vertex in the third quadrant, going through the points (negative 7, comma 0) and (4, comma 0).

    A quadratic equation forms a parabola when graphed. When equals or , equals . This means that and are roots of the equation. If you know the roots, can you find the factors for a possible equation?

    The factors for a possible equation are
    .

  1. An upward parabola with a vertex in the third quadrant, going through the points (negative 6, comma 0) and (negative 4, comma 0).

    See the hint for part (a).

  1. An upward parabola with a vertex at the point (negative 3, comma 0).

    See the hint for part (a). Because the parabola intersects the -axis at only one point, its equation has a single factor, which is squared.

Use the eTool below to help you write and check a possible equation for each parabola.
Click on the link at right for the full eTool version: CCA 11-13 HW eTool

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