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

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

4. 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.
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5. 12.3 The Hyperbola and Other Functions Defined by Radicals
The Conic Section – Hyperbola
Hyperbola
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6. 12.3 The Hyperbola and Other Functions Defined by Radicals
The Conic Section – Hyperbola
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7. 12.3 The Hyperbola and Other Functions Defined by Radicals
Equations of a Hyperbola
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8. 12.3 The Hyperbola and Other Functions Defined by Radicals
Equations of a Hyperbola
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9. 12.3 The Hyperbola and Other Functions Defined by Radicals
Asymptotes of a Hyperbola
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10. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Hyperbola
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11. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Horizontal Hyperbola
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12. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Horizontal Hyperbola
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13. 12.3 The Hyperbola and Other Functions Defined by Radicals
Identifying the Conics by Their Equations
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14. 12.3 The Hyperbola and Other Functions Defined by Radicals
Identifying the Conics by Their Equations
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15. 12.3 The Hyperbola and Other Functions Defined by Radicals
Identifying the Conics by Their Equations
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16. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing Certain Square Root Functions
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17. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing Certain Square Root Functions
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18. 12.3 The Hyperbola and Other Functions Defined by Radicals
Square Root Functions
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19. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Portion of a Hyperbola
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20. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Portion of a Hyperbola
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21. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Portion of a Parabola
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22. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Portion of a Parabola
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23. 12.3 The Hyperbola and Other Functions Defined by Radicals
Graphing a Portion of a Parabola
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