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Ch 28: Michigan Merit Exam - Math: Conic Sections & Their Properties

About This Chapter

You do not have to look any further to find study guides for conic sections and their characteristics for the Michigan Merit Exam's math section. Here, you will find brief and amusing video lessons and quizzes you can use to ensure that you are ready to answer questions on exam day.

Michigan Merit Exam- Math: Conic Sections & Their Properties - Chapter Summary

In this Conic Sections & Their Properties chapter, you will find brief video lessons that will refresh your memory of the process of determining the equation of ellipses by using the foci. You will also be reminded of the definition of a hyperbola. The video lessons mixed with the quizzes will ensure that you are able to answer Michigan Merit Exam questions about the following items:

  • Parabola's directrix and focus
  • Parabola's equation from its focus and directrix
  • Ellipses, foci, and hyperbolas
  • Derived equations of hyperbolas and ellipses
  • Conic sections

When you are done with the quizzes, see if you answered any of the questions incorrectly. If you did, watch the parts of the video lessons that provides you with the answers. You can also read over the lesson transcripts which contain important words in bold print. If you have any questions, ask our experts or instructors.

Michigan Merit Exam - Math: Conic Sections & Their Properties Objectives

Video lessons and quizzes found in this chapter correspond to the Geometry and Trigonometry portion of the Michigan Merit Exam. This is a four-part mathematics test. There will be approximately 25 multiple-choice questions in the section. Please note that you may also see questions asking you about the characteristics of different figures and requiring you to solve problems involving them.

6 Lessons in Chapter 28: Michigan Merit Exam - Math: Conic Sections & Their Properties
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.

Practice with the Conic Sections

6. Practice with the Conic Sections

Conic sections are shapes created by cutting through a 3D cone. In this lesson, learn how to identify each conic section from its graph and characteristic equation.

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.
Not Taken

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Other Chapters

Other chapters within the Michigan Merit Exam - Math: Test Prep & Practice course

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