Nonlinear Functions, Conic Sections, and Nonlinear Systems Chapter 12 Nonlinear Functions, Conic Sections, and Nonlinear Systems

The Hyperbola and Other Functions Defined by Radicals 12.3 The Hyperbola and Other Functions Defined by Radicals

12.3 The Hyperbola and Other Functions Defined by Radicals Objectives Recognize the equation of a hyperbola. Graph hyperbolas by using asymptotes. Identify conic sections by their equations. Graph certain square root functions. Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals The Conic Section – Hyperbola Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals The Conic Section – Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Equations of a Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Equations of a Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Asymptotes of a Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Horizontal Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Horizontal Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Identifying the Conics by Their Equations Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Identifying the Conics by Their Equations Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Identifying the Conics by Their Equations Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing Certain Square Root Functions Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing Certain Square Root Functions Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Square Root Functions Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Portion of a Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Portion of a Hyperbola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Portion of a Parabola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Portion of a Parabola Copyright © 2010 Pearson Education, Inc. All rights reserved.

12.3 The Hyperbola and Other Functions Defined by Radicals Graphing a Portion of a Parabola Copyright © 2010 Pearson Education, Inc. All rights reserved.