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Your Notes
9.6 Translate and Classify Conic
Sections
Goal p Translate conic sections.
VOCABULARY
Conic sections
General second-degree equation
Discriminant
STANDARD FORM OF EQUATIONS OF TRANSLATED
CONICS
In the following equations, the point (h, k) is the vertex
of the parabola and the center of the other conics.
Circle (x 2 h) 2 1 (y 2 k) 2 5 r2 Parabola (y 2 k) 2 5 4p(x 2 h) Horizontal axis
(x 2 h) 2 5 4p(y 2 k) Vertical axis
Ellipse
Hyperbola
(x 2 h)2
}
a
(x 2 h)2
}
b
(y 2 k)2
1 }
2
(y 2 k)2
1 }
2
(x 2 h)2
}
a
(y 2 k)2
}
a
(y 2 k)2
2 }
2
(x 2 h)2
2 }
2
5 1 Horizontal axis
b2 5 1 Vertical axis
a2 5 1 Horizontal axis
b2 5 1 Vertical axis
b2 248 Lesson 9.6 Algebra 2 Notetaking Guide Copyright © Holt McDougal. All rights reserved.