• ### J.1. Graphing y = ax2 + c Quadratic Functions

3. #### J.1.1. Identifying Components of Quadratic Functions

1. J.1.1.O. Overview
2. J.1.1.1. Identifying the Vertex and Axis of Symmetry Given the Graph of a Quadratic Function
4. #### J.1.2. Graphing Quadratic Functions of the Form y = ax2

1. J.1.2.O. Overview
2. J.1.2.1. Graphing y = ax2 Using a Table of Values |a| > 0
3. J.1.2.2. Graphing y = ax2 Using a Table of Values |a| < 1
5. #### J.1.3. Graphing Quadratic Functions of the Form y = ax2 + c

1. J.1.3.O. Overview
2. J.1.3.1. Graphing y = ax2 + c Using a Table of Values (c > 0)
3. J.1.3.2. Graphing y = ax2 + c Using a Table of Values (c < 0)
6. #### J.1.4. Solving Problems Involving Quadratic Functions

1. J.1.4.O. Overview
2. J.1.4.1. Solving Word Problems Involving Quadratic Functions
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• ### J.2. Graphing y = ax2 + bx + c Quadratic Functions

3. #### J.2.1. Finding Components of Quadratic Functions

1. J.2.1.O. Overview
2. J.2.1.1. Finding the Axis of Symmetry Given a Quadratic Function
3. J.2.1.2. Finding the Vertex Given a Quadratic Function
4. #### J.2.2. Graphing Quadratic Functions of the Form y = ax2 + bx + c

1. J.2.2.O. Overview
2. J.2.2.1. Graphing y = ax2 + bx + c Using a Table of Values
3. J.2.2.2. Graphing y = ax2 + bx + c Using the Vertex and Axis of Symmetry
5. #### J.2.3. Analyzing Maximum v. Minimum

1. J.2.3.O. Overview
2. J.2.3.1. Determining if a Quadratic Function has a Maximum or Minimum
3. J.2.3.2. Finding the Maximum or Minimum Given a Quadratic Function
4. J.2.3.3. Finding the Maximum or Minimum Given a Word Problem
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• ### J.3. Solving Quadratic Equations by Graphing

3. #### J.3.1. Number of Solutions of a Quadratic Equation

1. J.3.1.O. Overview
2. J.3.1.1. Determining the Number of Solutions of a Quadratic Equation Given the Graph
4. #### J.3.2. Finding the Solutions of a Quadratic Equation by Graphing

1. J.3.2.O. Overview
2. J.3.2.1. Solving a Quadratic Equation with Two Solutions by Graphing
3. J.3.2.2. Solving a Quadratic Equation with One Solution by Graphing
4. J.3.2.3. Solving a Quadratic Equation with No Solutions by Graphing
5. #### J.3.3. Finding the Zeros of a Quadratic Function

1. J.3.3.O. Overview
2. J.3.3.1. Finding the Zeros of a Quadratic Function by Graphing
6. #### J.3.4. Solving Problems Involving Solutions of Quadratic Functions

1. J.3.4.O. Overview
2. J.3.4.1. Solving Word Problems Involving Solutions of Quadratic Functions
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• ### J.4. Using Square Roots to Solve Quadratic Equations

3. #### J.4.1. Solving Basic Quadratic Equations Using Square Roots

1. J.4.1.O. Overview
2. J.4.1.1. Solving Basic Quadratic Equations for Integer Solutions Using Square Roots
3. J.4.1.2. Solving Basic Quadratic Equations for Fractional Solutions Using Square Roots
4. J.4.1.3. Solving Basic Quadratic Equations for Decimal Solutions Using Square Roots
4. #### J.4.2. Solving Problems Using the Square Root Method

1. J.4.2.O. Overview
2. J.4.2.1. Solving Geometric Problems Using the Square Root Method
3. J.4.2.2. Solving Word Problems Using the Square Root Method
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• ### J.5. Solve Quadratic Equations by Completing the Square

3. #### J.5.1. Completing the Square Prerequisites

1. J.5.1.O. Overview
2. J.5.1.1. Finding the c Value to Make Perfect Square Trinomials
3. J.5.1.2. Writing Perfect Square Trinomials as the Square of a Binomial
4. #### J.5.2. Solving Quadratic Equations by Completing the Square

1. J.5.2.O. Overview
2. J.5.2.1. Solving Quadratic Equations by Completing the Square Given x2 + bx = d
3. J.5.2.2. Solving Quadratic Equations by Completing the Square Given ax2 + bx + c = 0
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3. #### J.6.1. Interpreting the Discriminant

1. J.6.1.O. Overview
2. J.6.1.1. Finding and Interpreting the Discriminant Given a Quadratic Equation

1. J.6.2.O. Overview
2. J.6.2.1. Solving Quadratic Equations Using the Quadratic Formula Given Standard Form
3. J.6.2.2. Solving Quadratic Equations Using the Quadratic Formula by Rearranging Terms First
5. #### J.6.3. Solving Problems Using the Quadratic Formula

1. J.6.3.O. Overview
2. J.6.3.1. Solving Word Problems Using the Quadratic Formula
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• ### J.7. Comparing Linear, Exponential, and Quadratic Models

3. #### J.7.1. Identifying the Correct Type of Function

1. J.7.1.O. Overview
2. J.7.1.1. Identifying the Correct Type of Function by Analyzing the Graph
3. J.7.1.2. Identifying the Correct Type of Function by Graphing a Set of Ordered Pairs
4. J.7.1.3. Identifying the Correct Type of Function by Analyzing Patterns in a Table of Values
4. #### J.7.2. Writing the Equation for Given Function

1. J.7.2.O. Overview
2. J.7.2.1. Writing an Equation for the Function Given a Table of Values
5. #### J.7.3. Solving Problems by Using the Correct Function

1. J.7.3.O. Overview
2. J.7.3.1. Solving Word Problems by Using the Correct Type of Function
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