Ch 10: Holt McDougal Algebra 2 Chapter 10: Conic Sections

About This Chapter

The Conic Sections chapter of this Holt McDougal Algebra 2 Textbook Companion Course helps students learn essential algebra lessons on conic sections. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Conic Sections textbook chapter.

How it works:

  • Identify the lessons in the Holt McDougal Algebra 2 Conic Sections chapter with which you need help.
  • Find the corresponding video lessons within this companion course chapter.
  • Watch fun videos that cover the conic sections topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Identifying conic sections by their formulas
  • Graphing circles
  • Writing the equation of an ellipse in standard form
  • Deriving the equation of an ellipse from the foci
  • Writing the equation of a hyperbola in standard form
  • Deriving the equation of a hyperbola from the foci
  • Graphing parabolas
  • Solving nonlinear systems

Holt McDougal is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

12 Lessons in Chapter 10: Holt McDougal Algebra 2 Chapter 10: Conic Sections
Test your knowledge with a 30-question chapter practice test
How to Identify a Conic Section by Its Formulas

1. How to Identify a Conic Section by Its Formulas

In algebra, we have a formula for everything. Take a cone and slice it and we have a formula for the shape that results. Watch this video lesson to learn how to distinguish between these formulas.

Graphing Circles: Identifying the Formula, Center and Radius

2. Graphing Circles: Identifying the Formula, Center and Radius

Discover how to graph circles by finding key information like the center and radius. Identify circles by simply looking at the formula, and vice versa.

Tangent of a Circle: Definition & Theorems

3. Tangent of a Circle: Definition & Theorems

What happens when a line just barely touches a circle? It's a tangent! In this lesson, we'll learn all about tangents to circles, including a few key theorems. We'll also look at tangent circles.

Understanding Circles with Inequalities

4. Understanding Circles with Inequalities

In this lesson, we will determine if a given point lies inside, outside, or on the boundary of a circle using the equation of a circle in standard form, with the use of inequality symbols.

How to Write the Equation of an Ellipse in Standard Form

5. How to Write the Equation of an Ellipse in Standard Form

In algebra, we have equations that make our life so much easier. Some equations are able to tell us information without hard math. Watch this video lesson to see how the equation of an ellipse does this.

Derive the Equation of an Ellipse from the Foci

6. Derive the Equation of an Ellipse from the Foci

In this lesson, you're going to learn the definition of an ellipse and foci, the standard forms of the equation for an ellipse, and how to find such an equation when given the foci.

The Hyperbola: Definition, Vertices, Foci & Graphing

7. The Hyperbola: Definition, Vertices, Foci & Graphing

In this video lesson, we'll learn what a hyperbola is and how to graph one using the standard equation to find the center point, vertices and focus points.

How to Write the Equation of a Hyperbola in Standard Form

8. How to Write the Equation of a Hyperbola in Standard Form

When it comes to equations in algebra, there is most always a standard form that provides us with useful information. Watch this video lesson to learn how to write the standard form equation of a hyperbola by using information about the hyperbola.

Derive the Equation of a Hyperbola from the Foci

9. Derive the Equation of a Hyperbola from the Foci

This lesson will go over what a hyperbola is and walk through the steps of finding the equation of a hyperbola given just the foci and vertex. After learning the process, we will look at an example of finding a hyperbola equation given this information.

How to Write the Equation of a Parabola in Standard Form

10. How to Write the Equation of a Parabola in Standard Form

After watching this video lesson, you will be able to write the equation of a parabola in standard form when given just two important points from the parabola. Learn what these two points are and how they relate to the parabola.

The Parabola: Definition & Graphing

11. The Parabola: Definition & Graphing

Watch this video lesson to learn what a parabola is and how you can graph it. Find out how to extract useful information from the standard form equation of a parabola to help you graph it.

Identifying Conic Sections: General Form & Standard Form

12. Identifying Conic Sections: General Form & Standard Form

Did you know that if you slice a cone in different ways, you can make a circle, an ellipse, a parabola or a hyperbola? And, did you know that you can express all these shapes with just one general equation?

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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