Appendix C- Part 2 Graphs of Second Degree Equations.
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Transcript of Appendix C- Part 2 Graphs of Second Degree Equations.
![Page 1: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/1.jpg)
Appendix C- Part 2Graphs of Second Degree
Equations
![Page 2: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/2.jpg)
Today, we will review 2nd Degree equations such as:
![Page 3: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/3.jpg)
Today, we will review 2nd Degree equations such as:
![Page 4: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/4.jpg)
Today, we will review 2nd Degree equations such as:
Ellipse
![Page 5: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/5.jpg)
Today, we will review 2nd Degree equations such as:
![Page 6: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/6.jpg)
Today, we will review 2nd Degree equations such as:
Hyperbola
![Page 7: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/7.jpg)
Ellipse:
![Page 8: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/8.jpg)
Ellipse:
![Page 9: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/9.jpg)
Ellipse:
If the equation can be placed in this form, then:
![Page 10: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/10.jpg)
Ellipse:
If the equation can be placed in this form, then:
![Page 11: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/11.jpg)
Ellipse:
If the equation can be placed in this form, then:
![Page 12: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/12.jpg)
Ellipse:
If the equation can be placed in this form, then:
![Page 13: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/13.jpg)
Example:
![Page 14: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/14.jpg)
Example:
![Page 15: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/15.jpg)
Example:
![Page 16: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/16.jpg)
Discussion:
![Page 17: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/17.jpg)
Discussion:
• Which axis is the major axis?
![Page 18: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/18.jpg)
Discussion:
• Which axis is the major axis?
• Length of the major axis is always?
![Page 19: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/19.jpg)
Hyperbola:
![Page 20: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/20.jpg)
Hyperbola:
![Page 21: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/21.jpg)
Hyperbola:
![Page 22: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/22.jpg)
Hyperbola:
![Page 23: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/23.jpg)
Example:
![Page 24: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/24.jpg)
Example:
List equation of the asymptotes:
![Page 25: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/25.jpg)
Rectangular Hyperbola:
![Page 26: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/26.jpg)
Rectangular Hyperbola:
![Page 27: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/27.jpg)
Rectangular Hyperbola:
If k is a positive value, then the curve
lies in quadrants 1 and 3.
![Page 28: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/28.jpg)
Rectangular Hyperbola:
If k is a negative value, then the curve
lies in quadrants 2 and 4.
![Page 29: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/29.jpg)
Rectangular Hyperbola:
All curves of this type have asymptotes with
equations: x = 0 and y = 0
![Page 30: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/30.jpg)
Recognize shifted conics:
![Page 31: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/31.jpg)
Recognize shifted conics:
![Page 32: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/32.jpg)
Recognize shifted rectangular Hyperbola:
![Page 33: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/33.jpg)
Recognize shifted rectangular Hyperbola:
![Page 34: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/34.jpg)
Example:
Find equations of both asymptotes:
![Page 35: Appendix C- Part 2 Graphs of Second Degree Equations.](https://reader034.fdocuments.net/reader034/viewer/2022052701/56649c735503460f94925292/html5/thumbnails/35.jpg)
Assignment:
Page A 2313-31 odd, 35 Make sketches for 13 – 21 odd and for the rest just identify the type of curve (hyperbola, ellipse, circle, or parabola).