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9-3: Graphing Line of Symmetry & Roots in Factored Form

9-3: Graphing Line of Symmetry & Roots in Factored Form

Author: Kate Sidlo
Description:

By the end of this tutorial students will be able to graph the roots and line of symmetry from a factored form quadratic equation onto a coordinate plane (assuming all roots are real).  Students will find the line of symmetry using the mid-distance/average formula (a + b)/2.

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Tutorial

TO DO:

1) Write title on top of page

2) Draw Cornell Line

3) Write every question & answers

4) Write all examples

9-3: Graphing Factored & Line of Symmetry

VOCABULARY:

FACTORED FORM: Any quadratic equation in the form y = (x - a)(x - b)

LINE OF SYMMETRY: The vertical line through the vertex, splits parabola into two mirror-image pieces

QUADRATIC EQUATION: A polynomial with a highest term of x2

PARABOLA: A graph of a quadratic equation

ROOTS/ZEROS: The point or points where a parabola intersects the x-axis.

VERTEX: The point on the graph where the parabola changes direction from positive to negative or negative to positive