Ch 40: AEPA Math: Conic Sections

About This Chapter

Get your conic-section skills up to speed with the fun and engaging video lessons in this chapter. Our expert math instructors can help prepare you for any problem involving conic sections on the AEPA Math test.

AEPA Math: Conic Sections - Chapter Summary

There are numerous tricks and helpful techniques to remember when it comes to conic sections, and we delve into many of them in this chapter, including:

  • Using the focus and directrix to find a parabola's equation
  • Finding the equation of a hyperbola using the foci
  • Finding the equation of an ellipse from the foci
  • The standard definition of hyperbolas and ellipses

When it comes to the AEPA Math exam, our world-class math teachers have you covered. The video lessons they've created for you include tons of step-by-step problem sets and solutions to ensure you know conic sections-related material inside and out. Assess your skills by taking the short quiz that concludes each lesson, and reach out for help from our teachers at any time.

5 Lessons in Chapter 40: AEPA Math: Conic Sections
Test your knowledge with a 30-question chapter practice test
The Focus and Directrix of a Parabola

1. The Focus and Directrix of a Parabola

In this lesson, we will review what a parabola is, then we will look at the formal definition of a parabola, introducing the focus and directrix of a parabola. We will look at some examples to help solidify our understanding of these concepts.

Finding the Equation of a Parabola from the Focus and Directrix

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

A parabola is the familiar shape seen in many physical applications, like the path taken by a ball thrown upwards. This lesson explores equations for the parabola and shows how they may be obtained from two quantities: the focus and the directrix.

Foci and the Definitions of Ellipses and Hyperbolas

3. Foci and the Definitions of Ellipses and Hyperbolas

In this lesson, we'll look at the definition of an ellipse and a hyperbola. We'll use the foci of each of these to define them technically and formally, and we'll look at some examples to make the definitions more understandable.

Derive the Equation of an Ellipse from the Foci

4. 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.

Derive the Equation of a Hyperbola from the Foci

5. 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.

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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