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Your Notes
9.4 Graph and Write Equations of
Ellipses
Goal p Graph and write equations of ellipses.
VOCABULARY
Ellipse
Foci
Vertices
Major axis
Center
Co-vertices
Minor axis
STANDARD EQUATION OF AN ELLIPSE WITH CENTER
AT THE ORIGIN
Equation Major Axis Vertices Co-Vertices
x2 y2
} 1 }
2
a
x2 y2
} 1 }
2
5 1 Horizontal (6 , 0) (0, 6 )
b2 5 1
b a2 Vertical (0, 6 ) (6 , 0)
The major and minor axes are of lengths 2a and 2b,
respectively, where a > b > 0. The foci of the ellipse
lie on the major axis at a distance of c units from the
center, where c2 5 .
Copyright © Holt McDougal. All rights reserved. Lesson 9.4 Algebra 2 Notetaking Guide 241