Graphing Quadratic Equations

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Graphing Quadratic Equations Lesson 10-1 Graphing Quadratic Equations

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.

Parabola positive Negative

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

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.

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

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

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.

x y