7.1_bzca5e - Section 7.1 The Ellipse Obtaining Conic...

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Unformatted text preview: Section 7.1 The Ellipse Obtaining Conic Sections by Intersecting a Plane and a Cone Definition of an Ellipse Standard Form of the Equation of an Ellipse The relationship of a, b and c in an Ellipse Used to Find the Foci, c.-4-3-2-1 1 2 3 4-3-2-1 1 2 a b c 2 2 2 2 2 2 Applying the Pythagorean Theorem we get b c a c a b or + = =- (c,0) (0,b) X and Y Intercepts of an Ellipse Using the Standard Form of the Equation of an Ellipse Ellipse with the Major Axis on the X-Axis Ellipse with the Major Axis on the Y-Axis Example 2 2 Graph and locate the foci. 9x 4 36 y + =-4-3-2-1 1 2 3 4 5-4-3-2-1 1 2 3 4 x y Example 2 2 Graph and locate the foci. x 1 16 4 y + =-4-3-2-1 1 2 3 4 5-4-3-2-1 1 2 3 4 x y Example-3-2-1 1 2 3-4-3-2-1 1 2 3 4 y Write the standard equation of the ellipse pictured. Translations of Ellipses Standard form of Equations of Ellipses Centered at h,k How to use the Center to Find the Endpoints of the Axes Example 2 2 ( 2) ( 1) Graph 1 9 4 Where are the foci?...
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This document was uploaded on 10/26/2011 for the course FKP bmfp at UTEM Chile.

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7.1_bzca5e - Section 7.1 The Ellipse Obtaining Conic...

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