# Ch 6: Factoring and Graphing Quadratic Equations

Watch online math video lessons and learn about parabolas, the vertical line test, the quadratic formula, and more. These video lessons are short and engaging and make learning easy!

## Factoring and Graphing Quadratic Equations - Chapter Summary and Learning Objectives

Instructors in this chapter can teach you the ins and outs of quadratic equations and their graphs. Video lessons cover steps for multiplying binomials, factoring, and completing the square so you can solve these types of equations regardless of their leading coefficient or form. This chapter is designed to help you:

• Identify a parabola's various points and forms
• Employ visual methods and the FOIL acronym to multiply binomials
• Convert quadratic equations into vertex and standard forms

Video Objectives
What Is a Parabola? Find examples of parabolas in everyday life and learn to identify points, such as the vertex, maximum, intercept, root, and axis of symmetry.
Parabolas in Standard, Intercept, and Vertex Form Explore three different forms of parabolas and learn how to interpret each one's value.
What Is a Function? - Applying the Vertical Line Test Use the vertical line test to determine which graphs are functions.
Multiplying Binomials Using FOIL and the Area Method Examine methods for multiplying algebraic expressions with two terms.
Multiplying Binomials Using FOIL and the Area Method: Practice Problems Practice using area and FOIL methods to multiply binomials. Find out how to multiply two conjugates.
How to Factor Quadratic Equations: FOIL in Reverse Learn how to break up quadratic equations into separate binomials.
Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient Get the hang of factoring quadratic equations with a leading coefficient greater than 1.
How to Complete the Square View steps for converting a quadratic equation into vertex form.
Completing the Square Practice Problems Review the processes involved in completing the square through examples and practice problems.
How to Solve a Quadratic Equation by Factoring Discover uses of the product property and learn how to solve a quadratic equation by factoring.
How to Use the Quadratic Formula to Solve a Quadratic Equation Find out how to solve quadratic equations using the quadratic formula and the correct order of operations.
How to Solve Quadratics That Are Not in Standard Form Use algebra to convert a quadratic equation into standard form.
Graphing Circles: Identifying the Formula, Center and Radius Learn how to find a circle's center and radius using the graph of a circle in standard form.

12 Lessons in Chapter 6: Factoring and Graphing Quadratic Equations
Test your knowledge with a 30-question chapter practice test
Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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