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Sections Conic Sections

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Presentation on theme: "Sections Conic Sections"— Presentation transcript:

1 Sections 10.1-10.3 Conic Sections
Circles Parabolas Ellipses Hyperbolas 10.1,2,3

2 Introduction to Conic Sections Parabola Circle Ellipse Hyperbola
10.1,2,3

3 Ax2 + By2 + Cxy + Dx +Ey + F = 0 The constants A, B, C, D, E and F determine the nature of the graphs formed For conic sections, A and B cannot both be 0 10.1,2,3

4 Remember Parabolas? Two styles: Functions & Relations Find the Vertex:
x = -b/(2a), (or y = -b/(2a)) solve for y or x 10.1,2,3

5 A Circle has a Center and a Radius
Find the center & radius 10.1,2,3

6 Sketch a circle: (double “complete the square”) Find the Center and Radius
10.1,2,3

7 An Ellipse also has a Center and Foci
10.1,2,3

8 Graphing an Origin-Centered Ellipse
10.1,2,3

9 An Ellipse Centered at (h,k)
10.1,2,3

10 Hyperbolas have Two Branches
10.1,2,3

11 A Hyperbola Centered at the Origin
10.1,2,3

12 Non-Standard Hyperbola
10.1,2,3

13 What Next? The Final Exam
10.1,2,3


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