Ch 10: Conic Sections: Help and Review

About This Chapter

The Conic Sections chapter of this High School Geometry Help and Review course is the simplest way to master 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 conic sections.

Who's it for?

Anyone who needs help understanding high school geometry material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better grades. You're in the right place if you:

  • Have fallen behind in understanding how to derive equations for parabolas and other conic sections.
  • Need an efficient way to learn about conic sections.
  • Learn best with engaging auditory and visual tools.
  • Struggle with learning disabilities or learning differences, including autism and ADHD.
  • Experience difficulty understanding your teachers.
  • Missed class time and need to catch up.
  • Can't access extra math learning resources at school.

How it works:

  • Start at the beginning, or identify the topics that you need help with.
  • Watch and learn from fun videos, reviewing as needed.
  • Refer to the video transcripts to reinforce your learning.
  • Test your understanding of each lesson with short quizzes.
  • Submit questions to one of our instructors for personalized support if you need extra help.
  • Verify you're ready by completing the 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 Conic Sections chapter exam to be prepared.
  • Get Extra Support: Ask our subject-matter experts any relevant 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:

  • When given the directrix and focus, how do you find the equation for a parabola?
  • What are ellipses and hyperbolas?
  • When provided with the foci, how do you calculate the equation of an ellipses?
  • How do you find the equation of a hyperbola when given the foci?

7 Lessons in Chapter 10: Conic Sections: Help and Review
Test your knowledge with a 30-question chapter practice test
Derive the Equation of a Hyperbola from the Foci

1. Derive the Equation of a Hyperbola from the Foci

A hyperbola can be shaped on a graph similar to a butterfly's wing and has a formula derived from the foci, which are two points inside the branches at a fixed distance from the center, and other points. Learn how to derive the equation of a hyperbola from just the foci through practice examples.

Derive the Equation of an Ellipse from the Foci

2. Derive the Equation of an Ellipse from the Foci

An ellipse refers to all points in a set where the sum of distances from the foci or two fixed points is constant. Study the definition of an ellipse and foci, and learn how to derive an equation from the horizontal and vertical major axis.

Finding the Equation of a Parabola from the Focus and Directrix

3. Finding the Equation of a Parabola from the Focus and Directrix

The equation for a parabola curve can be found from the focus and directrix. Discover how to find the standard form of the parabola equation from the focus and directrix, as well as two other forms of the equation: intercept form and vertex form.

Foci and the Definitions of Ellipses and Hyperbolas

4. Foci and the Definitions of Ellipses and Hyperbolas

Foci are points located on the curves of ellipses and hyperbolas. Study the definition of ellipses and hyperbolas, learn the foci of these shapes, and have a look at examples for further understanding.

Practice with the Conic Sections

5. Practice with the Conic Sections

Conic sections are shapes made cutting a 3D cone at specific angles. Get some practice with the conic sections by looking at examples which include circles, ellipses, parabolas, and hyperbolas.

The Focus and Directrix of a Parabola

6. The Focus and Directrix of a Parabola

A parabola is the curve of a line on the graph representing the quadratic equation, shaped like a 'U'. Learn how the focus and the directrix help define the parabola through examples with visual representations.

Ellipse: Definition, Equation & Examples

7. Ellipse: Definition, Equation & Examples

An ellipse is a closed curve that is identified by its foci and its stretched shape along its principal axis. Explore the definition and equation of an ellipse, and practice some example problems.

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