Module 3: Quadratic Equations and Quadratic Functions

Section 3.1.7 Textbook:  Graphs of Quadratic Functions

Learning Objectives

• Graph quadratic functions.
• Compare graphs of quadratic functions.
• Graph quadratic functions in intercept form.
• Analyze graphs of real-world quadratic functions.

Video Lessons

1. Graphing Quadratic Functions in General Form
2. Graphing Quadratic Functions in Standard Form
3. Horizontal and Vertical Stretches and Compressions
4. Vertical and Horizontal Translations or Shifts

Video Examples

1. Ex 1:  Graph a Quadratic Function in General Form
2. Ex 2:  Graph a Quadratic Function in General Form

Textbook Section 3.2:  Quadratic Equations by Graphs

Supplement #1:  Graphs of Quadratics

Learning Objectives

• Identify the number of solutions of quadratic equations.
• Solve quadratic equations by graphing.
• Find or approximate zeros of quadratic functions.
• Analyze quadratic functions using a graphing calculators.
• Solve real-world problems by graphing quadratic functions.

Section 3.3 Textbook:  Quadratic Equations by Square Roots

Learning objectives

• Solve quadratic equations involving perfect squares.
• Approximate solutions of quadratic equations.
• Solve real-world problems using quadratic functions and square roots.

Section 3.4 Textbook:  Solving Quadratic Equations by Completing the Square

Learning objectives

• Complete the square of a quadratic expression.
• Solve quadratic equations by completing the square.
• Solve quadratic equations in standard form.
• Graph quadratic equations in vertex form.
• Solve real-world problems using functions by completing the square.

Section 3.5 Textbook:  Solving Quadratic Equations by the Quadratic Formula

Learning objectives

• Solve quadratic equations using the quadratic formula.
• Identify and choose methods for solving quadratic equations.
• Solve real-world problems using functions by completing the square.

Section 3.6 Textbook:  The Discriminant

Learning Objectives

• Find the discriminant of a quadratic equation.
• Interpret the discriminant of a quadratic equation.
• Solve real-world problems using quadratic functions and interpreting the discriminant.

Section 3.7 - 3.8 Textbook:  Linear and Quadratic Models
Section 3.7
Section 3.8 

Learning Objectives

• Identify functions using differences and ratios.
• Write equations for functions.
• Perform linear and quadratic regressions with a graphing calculator.
• Solve real-world problems by comparing function models.