Prentice Hall Algebra 2

10-4 Ellipses

Objectives To write the equation of an ellipse

To find the foci of an ellipse

To graph an ellipse

A solve it problem with Darius.
Image Long Description

Points on the smooth curve in the Solve It have a total distance of 10 units to the points open negative 4 comma 0 close  and (4, 0). In fact, all of the points on the smooth curve have a total distance of 10 units to the two fixed points. You can describe this smooth curve with an equation.

Essential Understanding A circle is the set of points a fixed distance from one point. An ellipse “stretches” a circle in one direction and is the set of points that have a total fixed distance from two points.


End ofPage 638

Table of Contents

Prentice Hall Algebra 2 Chapter 1 Expressions, Equations, and Inequalities Chapter 2 Functions, Equations, and Graphs Chapter 3 Linear Systems Chapter 4 Quadratic Functions and Equations Chapter 5 Polynomials and Polynomial Functions Chapter 6 Radical Functions and Rational Exponents Chapter 7 Exponential and Logarithmic Functions Chapter 8 Rational Functions Chapter 9 Sequences and Series Chapter 10 Quadratic Relations and Conic Sections Chapter 11 Probability and Statistics Chapter 12 Matrices Chapter 13 Periodic Functions and Trigonometry Chapter 14 Trigonometric Identities and Equations Skills Handbook English/Spanish Illustrated Glossary Selected Answers Index Acknowledgments