copyright © 2010 pearson education, inc. all rights reserved sec 12.2 - 1
DESCRIPTION
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec The Circle and the EllipseTRANSCRIPT
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
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 12.2 - 3
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