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Ch 9: Working with Quadratic Functions in Trigonometry: Help and Review

About This Chapter

The Working with Quadratic Functions chapter of this High School Trigonometry Help and Review course is the simplest way to master quadratic functions. This chapter uses simple and fun videos that are about five minutes long, plus lesson quizzes and a chapter exam to ensure students learn the essentials of working with quadratic functions.

Who's it for?

Anyone who needs help learning or mastering high school trigonometry material will benefit from taking this course. There is no faster or easier way to learn high school trigonometry. Among those who would benefit are:

  • Students who have fallen behind in understanding how to factor, solve and graph quadratic equations, quadratic inequalities and systems of quadratic inequalities
  • Students who struggle with learning disabilities or learning differences, including autism and ADHD
  • Students who prefer multiple ways of learning math (visual or auditory)
  • Students who have missed class time and need to catch up
  • Students who need an efficient way to learn about quadratic functions
  • Students who struggle to understand their teachers
  • Students who attend schools without extra math learning resources

How it works:

  • Find videos in our course that cover what you need to learn or review.
  • Press play and watch the video lesson.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Verify you're ready by completing the Working with Quadratic Functions in Trigonometry chapter exam.

Why it works:

  • Study Efficiently: Skip what you know, review what you don't.
  • Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
  • Be Ready on Test Day: Use the Working with Quadratic Functions in Trigonometry chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any quadratic functions question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

This chapter helps students review the concepts in a quadratic functions unit of a standard high school trigonometry course. Topics covered include:

  • Writing parabolas in standard, intercept and vertex forms
  • Factoring quadratic equations using FOIL in reverse
  • Factoring quadratic equations with non-1 leading coefficients
  • Completing the square
  • Solving quadratic equations by factoring
  • Solving quadratics with complex numbers as the solution
  • Graphing and solving quadratic inequalities
  • Graphing a system of quadratic inequalities
  • Applying quadratic functions to solve projectile motion problems
  • Using quadratic functions to model a given data set

10 Lessons in Chapter 9: Working with Quadratic Functions in Trigonometry: Help and Review
Test your knowledge with a 30-question chapter practice test
What is a Parabola?

1. What is a Parabola?

A parabola is a U shape that is created when a quadratic equation is graphed. Explore the characteristics of parabolas, how they are used in everyday life, and the defining spots of a parabola.

Parabolas in Standard, Intercept, and Vertex Form

2. Parabolas in Standard, Intercept, and Vertex Form

The equation of a parabola can be expressed in three different forms. Explore different kinds of parabolas, and learn about the standard form, the intercept form, and the vertex form of parabola equations.

How to Factor Quadratic Equations: FOIL in Reverse

3. How to Factor Quadratic Equations: FOIL in Reverse

The FOIL method can be used in reverse to identify the standard multiples from a given equation. Discover how factoring quadratic equations using FOIL in reverse applies to multiplying binomials and breaking down equations to simplify quadratic equations.

Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

4. Factoring Quadratic Equations: Polynomial Problems with a Non-1 Leading Coefficient

Quadratic equations can be factored, even those whose leading coefficient is not '1', by using the product of binomials and isolating the pattern. Learn how to adjust the pattern and factor quadratic equations with non-1 leading coefficients using examples.

How to Complete the Square

5. How to Complete the Square

Squares can be identified and completed by turning a quadratic equation from standard form to vertex form. Learn how the transformation of the form of a quadratic equation is completed, and also how trinomials can be factored to perfect square binomials.

Completing the Square Practice Problems

6. Completing the Square Practice Problems

A quadratic equation in standard form can be turned into one in vertex form by completing the square. Learn the functions of c-values, perfect square binomials, and the standard form of the quadratic equation ins and solve completing-the-square practice problems.

How to Solve a Quadratic Equation by Factoring

7. How to Solve a Quadratic Equation by Factoring

Factoring is a method of solving quadratic equations in which the equation is expressed as a product of two or more factors. Learn how to solve a quadratic equation using the factoring method through the given examples.

How to Solve Quadratics with Complex Numbers as the Solution

8. How to Solve Quadratics with Complex Numbers as the Solution

Quadratics, even those with complex number solutions, can be solved using the discriminant, and square roots. Practice this with polynomials, and isolate the variables to solve the equations.

Graphing & Solving Quadratic Inequalities: Examples & Process

9. Graphing & Solving Quadratic Inequalities: Examples & Process

Graphing and solving quadratic inequalities is a process and an essential skill to be successful in many math subjects. Learn the definition of a quadratic inequality, how to plot points on a graph, explain the graph, and where to shade a graph.

Graphing a System of Quadratic Inequalities: Examples & Process

10. Graphing a System of Quadratic Inequalities: Examples & Process

A system of quadratic inequalities is a collection of such functions, put into a set, or a 'whole'. Learn the process of how to graph a system of quadratic inequalities and view examples.

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
More Exams
There are even more practice exams available in Working with Quadratic Functions in Trigonometry: Help and Review.

Earning College Credit

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Other Chapters

Other chapters within the High School Trigonometry: Help and Review course

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