10.5 Conic Sections
1.
Parabolas
An equation of the parabola with focus (0
,p
) and directrix
y
=

p
is
x
2
=4
py
An equation of the parabola with focus (
p,
0) and directrix
x
=

p
is
y
2
px
2.
Ellipses
An equation of the ellipse with foci (
±
c,
0)
,
where
c
2
=
a
2

b
2
, and vertices (
±
a,
0)
is
x
2
a
2
+
y
2
b
2
=1
,a
≥
b>
0
An equation of the ellipse with foci (0
,
±
c
)
,
where
c
2
=
a
2

b
2
, and vertices (0
,
±
a
)
is
x
2
b
2
+
y
2
a
2
≥
0
1
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View Full DocumentSection 10.5 Conic Sections
2
3.
Hyperbolas
An equation of the hyperbola with foci (
±
c,
0), where
c
2
=
a
2
+
b
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 Fall '07
 Zhang
 Calculus, Conic Sections, Conic section, a≥b

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