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Pre-Calculus
Ellipses, Circles, Parabola, Hyperbolas
18
Mathematics
12th Grade
04/26/2010
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Term
Circle
 Definition
(x-h)² +(y-k)² =r²
Term
U Parabola
 Definition
(x-h)² =4p(y-k)
Term
n Parabola
 Definition
(x-h)² =-4p(y-k)
Term
C parabola
 Definition
(y-k)² =4p(x-h)
Term
) Parabola
 Definition
(y-k)² =-4p(x-h)
Term
p=?
 Definition
distance from focus to vertex
Term
Horizontal ellipse
 Definition
(x-h)² +(y-k)² =1
----- ------
a² b²
Term
vertical ellipse
 Definition
(y-k)² +(x-h)² =1
------ -----
a² b²
Term
eccentricity=?
 Definition
e=c/a
Term
horizontal hyperbola
 Definition
(x-h)² -(y-k)² =1
----- ------
a² b²
Term
vertical hyperbola
 Definition
(y-k)² -(x-h)² =1
----- ------
a² b²
Term
horizontal asymptote
 Definition
y=k+-b/a(x-h)
Term
vertical asymptote
 Definition
y=k+-a/b(x-h)
Term
Hyperbola C² =?
 Definition
c² =a² +b²
Term
circle
 Definition
A=C
Term
parabola
 Definition
AC=0
Term
ellipse
 Definition
AC>0
Term
hyperbola
 Definition
AC<0
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