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

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Presentation transcript:

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

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Nonlinear Functions, Conic Sections, and Nonlinear Systems Chapter 12

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec The Circle and the Ellipse

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

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse The Conic Sections – Circle and Ellipse Circle Ellipse

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse The Circle x y

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Finding the Equation of a Circle and Graphing It

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Determine the Center and Radius of a Circle

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Determine the Center and Radius of a Circle

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Determine the Center and Radius of a Circle

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse The Ellipse x y

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse The Ellipse x y

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Graphing an Ellipse

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Graphing an Ellipse x y x

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Graphing an Ellipse with Horizontal and Vertical Shift

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec The Circle and the Ellipse Graphing an Ellipse with Horizontal and Vertical Shift

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