copyright © 2010 pearson education, inc. all rights reserved sec 12.2 - 1

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 12.2 - 1

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 12.2 - 2

Nonlinear Functions, Conic Sections,

and Nonlinear Systems

Chapter 12

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12.2

The Circle and the Ellipse

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12.2 The Circle and the Ellipse

Objectives

1. Find the equation of a circle given the center and radius.

2. Determine the center and radius of a circle given its equation.

3. Recognize the equation of an ellipse.

4. Graph ellipses.

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12.2 The Circle and the Ellipse

The Conic Sections – Circle and Ellipse

CircleEllipse

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12.2 The Circle and the Ellipse

The Circle

x

y

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12.2 The Circle and the Ellipse

Finding the Equation of a Circle and Graphing It

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12.2 The Circle and the Ellipse

Determine the Center and Radius of a Circle

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12.2 The Circle and the Ellipse

Determine the Center and Radius of a Circle

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12.2 The Circle and the Ellipse

Determine the Center and Radius of a Circle

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12.2 The Circle and the Ellipse

The Ellipse

x

y

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12.2 The Circle and the Ellipse

The Ellipse

x

y

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12.2 The Circle and the Ellipse

Graphing an Ellipse

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12.2 The Circle and the Ellipse

Graphing an Ellipse

x

y

x

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12.2 The Circle and the Ellipse

Graphing an Ellipse with Horizontal and Vertical Shift

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12.2 The Circle and the Ellipse

Graphing an Ellipse with Horizontal and Vertical Shift