sections 10.1-10.3 conic sections
DESCRIPTION
Sections 10.1-10.3 Conic Sections. Circles Parabolas Ellipses Hyperbolas. Introduction to Conic Sections Parabola Circle Ellipse Hyperbola . Ax 2 + By 2 + Cxy + Dx +Ey + F = 0. The constants A, B, C, D, E and F determine the nature of the graphs formed - PowerPoint PPT PresentationTRANSCRIPT
10.1,2,3 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
4.12)1,4(
2)1()4(
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22
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2122
12
22
radiuscenter
yx
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yxyx
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