Ch 23: Analytic Geometry and Conic Sections

Watch online video lessons to learn about circles, hyperbolas, parabolas, ellipses and more. Complete the quizzes that accompany each lesson to measure your learning.

Analytic Geometry and Conic Sections - Chapter Summary and Learning Objectives

Conic sections, otherwise known as circles, ellipses, hyperbolas and parabolas, are the shapes you get when you cut a slice through two cones. Use the lessons included in this chapter to explore their basic characteristics and investigate the relationship between their foci and vertices, so you can graph and solve equations for conic sections with ease. Once you work your way through this chapter, you should be able to:

• Write the equations for conic sections in standard form
• Graph ellipses, hyperbolas and parabolas
• Calculate the distance of a circle

Video Objectives
Defining and Graphing Ellipses in Algebra Learn what an ellipse is. Find out how to graph ellipses centered at the origin and at other points on the coordinate plane.
How to Write the Equation of an Ellipse in Standard Form Check out the standard form of an ellipse's equation and learn how to write it.
The Circle: Definition, Conic Sections & Distance Formula Consider the definition of a circle and get an introduction to conic sections. Discover the formula used to calculate a circle's distance.
The Hyperbola: Definition, Vertices, Foci & Graphing Learn how to locate a parabola's foci and vertices. Graph hyperbolas centered at the origin and at other points on the coordinate plane.
How to Write the Equation of a Hyperbola in Standard Form Find out how to write the equation for a hyperbola in standard form.
The Parabola: Definition & Graphing Understand the definition of a parabola. Learn how to graph parabolas with vertices at various points on the coordinate plane, including the origin.
How to Write the Equation of a Parabola in Standard Form Get tips for writing the equation of a parabola in standard form.
How to Identify a Conic Section by Its Formulas Use your knowledge of conic sections to identify parabolas, hyperbolas and ellipses by their formulas.

8 Lessons in Chapter 23: Analytic Geometry and Conic Sections
Test your knowledge with a 30-question chapter practice test
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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