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Chapter 9 Quadratic Functions

9-1 Quadratic Functions and Equations:

Example 1– Test Function for Quadratic

Example 2– Graph Quadratic Function with Table

Example 3– Open Up or Down

Example 4- Identify Vertex, Maximum or Minimum

9-2 Characteristics of Quadratic Functions:

Example 1– Zeroes from a Graph.

Example 2– Axis of Symmetry & Vertex from a Graph.

Example 3– Axis of Symmetry from a Function

Example 4– Axis of Symmetry & Vertex from a Function

Example 5– Word Problem (Axis of Symmetry & Vertex)

9-3 Graphing Quadratic Functions:

Example 1– Graph the Quadratic Function (Identify parts)

Example 2– Word Problem [Graph the Quadratic Function (Identify parts)]

9-4 Transforming Quadratic Functions:

Example 1– Compare Widths.

Example 2– Transform: Vertical Shift, Width, Direction.

Example 3– Word Problem (Compare Functions after Transformation.

9-5 Solving Quadratic Equations by Graphing:

Example 1– Solve by Graphing.

Example 2– Word Problem (Solve by Graphing.

9-6 Solving Quadratic Equations by Factoring:

Example 1– Solve by Zero Product Property.

Example 2– Solve by Factoring and then ZPP.

Example 3– Word Problem.

9-7 Solving Quadratic Equations using Square Roots:

Example 1– Solve using Square Roots.

Example 2– Isolate x² and then Solve with Square Roots.

Example 3– Solve with Square Root and the Simplify or Round to the Hundredths.

Example 4– Word Problem.

9-8 Completing the Square:

Example 1– Complete the Square

Example 2– Solve by Completing the Square

Example 3– Solve by Completing the Square

Example 4– Word Problem (Area of a Rectangle)

9-9 Solve Using the Quadratic Formula:

Example 1

Example 2

Example 3– Find the Number of Solutions using the Discriminant.

Example 4– Word Problem