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Title: Hyperbola Formula
Description: This is a better formula and solved problem easily
Description: This is a better formula and solved problem easily
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Conic Sections Formulas
Parabola
Vertical Axis
(x-h)2=4p(y-k)
y=k
(h,k)
(h+p,k)
x=h-p
p>0 then rignt; p<0 then
left
Horizontal Major axis
x h
Axis of symmetry
Vertex
Focus
Directrix
Direction of opening
x=h
(h,k)
(h,k+p)
y=k-p
p>0 then up; p<0 then
down
Vertical Major Axis
equation
Horizontal axis
(y-k)2=4p(x-h)
x h
Ellipse
equation
center
Vertices
Foci
Major axis equation
Minor axis equation
Equation that relates a, b,
and c
Eccentricity of an ellipse
y k
2
2
1
b2
a2
(h,k)
(h,k±a)
(h,k±c)
2a=length of major axis
2b=length of minor axis
2
a2
(h,k)
(h±a,k)
(h±c,k)
y k
2
1
b2
a2=b2+c2
e=(c/a)
Hyperbola
Vertical Transverse Axis
center
Vertices
Foci
Assymptote equation
Horizontal Transverse axis
y k
equation
x h
2
a2
(h,k)
(h,k±a)
(h,k±c)
yk
x h
b2
2
1
a
x h
b
Equation relating a, b,
and c
Classifying conic
sections
Ax2+Cy2+Dx+Ey+F=0
2
a2
(h,k)
(h±a,k)
(h±c,k)
yk
y k
b2
2
1
b
x h
a
c2=a2+b2
Circles
Parabola
Ellipse
Hyperbola
A=C
AC=0, Both
are not 0
AC>0
AC<0
Sources: www
...
com/IL/HiawathaSchools/
...
doc
www
...
com
Title: Hyperbola Formula
Description: This is a better formula and solved problem easily
Description: This is a better formula and solved problem easily