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Sections 10.1-10.3 Conic Sections
Circles Parabolas Ellipses Hyperbolas 10.1,2,3
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Introduction to Conic Sections Parabola Circle Ellipse Hyperbola
10.1,2,3
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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
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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
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A Circle has a Center and a Radius
Find the center & radius 10.1,2,3
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Sketch a circle: (double “complete the square”) Find the Center and Radius
10.1,2,3
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An Ellipse also has a Center and Foci
10.1,2,3
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Graphing an Origin-Centered Ellipse
10.1,2,3
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An Ellipse Centered at (h,k)
10.1,2,3
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Hyperbolas have Two Branches
10.1,2,3
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A Hyperbola Centered at the Origin
10.1,2,3
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Non-Standard Hyperbola
10.1,2,3
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What Next? The Final Exam
10.1,2,3
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