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**Graphing Quadratic Equations**

Lesson 10-1 Graphing Quadratic Equations

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Definitions Quadratic Function - can be written in the form of y = ax2 + bx + c, where a 0. Parabola - The graph of a quadratic function is a parabola.

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Parabola positive Negative

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**Equation of the Axis of Symmetry**

The equation of the axis of symmetry for the graph of y = ax2 + bx + c, where c 0, is

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**6 Steps to Graphing Quadratic Equations**

Solve for line of symmetry using Plug x value into original equation to find vertex (x,y). Define vertex as a minimum or a maximum. Find value of three numbers above and below line of symmetry value. Plot points you have found. Draw graph.

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**Use a table of values to graph y = x2 - x - 2.**

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**Use a table of values to graph y = -2x2 + 2x + 4.**

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**Consider the graph of y = -2x2 -8x -2.**

Write an equation of the axis of symmetry. Find the coordinates of the vertex. Identify the vertex as a maximum or a minimum. Graph.

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x y

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