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Ch 29: Analytic Geometry and Conic Sections: Help and Review

About This Chapter

The analytic geometry and conic sections chapter of this Precalculus: High School Help and Review course is the simplest way to master analytic geometry and conic sections. 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 analytic geometry and conic sections.

Who's it for?

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

  • Students who have fallen behind in understanding analytic geometry and conic sections
  • 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 analytic geometry and conic sections
  • 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 Analytic Geometry and Conic Sections 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 Analytic Geometry and Conic Sections chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any analytic geometry and conic sections question. They're here to help!
  • Study With Flexibility: Watch videos on any web-ready device.

Students will review:

In this chapter, you'll learn the answers to questions including:

  • How can I define and graph ellipses in algebra?
  • How can I write the equation of an ellipse in standard form?
  • How can I calculate the distance formula of a circle?
  • What are the vertices and foci of a hyperbola?
  • How do I write the equation of a hyperbola in standard form?
  • What is the definition a parabola, and how do I graph it?
  • How do I write the equation of a parabola in standard form?
  • How do I identify a conic section by its formulas?

8 Lessons in Chapter 29: Analytic Geometry and Conic Sections: Help and Review
Test your knowledge with a 30-question chapter practice test
Defining and Graphing Ellipses in Algebra

1. Defining and Graphing Ellipses in Algebra

Watch this video lesson to find out what makes ellipses so unique. Learn what kind of shape an ellipse is, how you can create one yourself and how you can graph an ellipse by just looking at the numbers in the equation.

How to Write the Equation of an Ellipse in Standard Form

2. 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.

The Circle: Definition, Conic Sections & Distance Formula

3. The Circle: Definition, Conic Sections & Distance Formula

Watch this video lesson, and you will learn what makes a circle a conic section. Also learn how to calculate the circumference of a circle. You will learn about the one important measurement that you need for any circle.

The Hyperbola: Definition, Vertices, Foci & Graphing

4. 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

5. 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.

The Parabola: Definition & Graphing

6. 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.

How to Write the Equation of a Parabola in Standard Form

7. 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.

How to Identify a Conic Section by Its Formulas

8. 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.

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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Other Chapters

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

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