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Ch 12: Conics in Algebra

About This Chapter

Use our video lessons to learn about conics and how to work with them. Get the definition of conics and see how to write equations for various types of conic sections, such as ellipses and hyperbolas.

Conics in Algebra - Chapter Summary

In this chapter, you'll learn what a conic is and see how various figures are created by sectioning. Our instructors will show you how to work with ellipses, circles, parabolas and hyperbolas. Another lesson will show you how a formula can help you spot a conic section. After watching these video lessons, you should be able to:

  • Graph and write the equation of an ellipse
  • Use the distance formula to calculate the circumference of circles
  • Identify vertices and foci in the graph of a hyperbola
  • Define and graph a parabola
  • Use standard form to write the equation of a parabola
  • Utilize formulas to identify a conic section

You'll find that learning is fun with these brief video lessons. Each also includes a multiple-choice quiz that lets you hone your test-taking skills while assessing your knowledge of the subject. If you need to review a particular concept, the lessons include a jump feature on the timeline that makes it easy to go back to the portion you need to re-watch. If you still have questions, feel free to contact the instructor, who will be glad to help.

8 Lessons in Chapter 12: Conics in Algebra
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.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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