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Home > INT2 > Chapter 9 > Lesson 9.3.4 > Problem 9-122

9-122.

Based on the graph, write an equation for each parabola. 9-122 HW eTool  

  1. A downward parabola with a vertex in the fourth quadrant, going through the points (negative 9, comma 0), (0, comma 11.25), and (5, comma 0).

  1. An upward parabola with a vertex at the point (negative 5.5, comma negative 4.5), going through the points (negative 7, comma 0), and (negative 4, comma 0).

  1. An upward parabola with a vertex at the point (negative 6, comma 0), going through the point (0, comma 12).

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
and .

See the hint for part (a).

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: INT2 9-122 HW eTool

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