parabola's

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ickle_katy
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#1
Report Thread starter 18 years ago
#1
anyone know how to find the equation of a parabola when your given the dirextrix and the focus, but neither contain a zero.


+ does anyone know what the difference between a parabola and a cononical parabola is?

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elpaw
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#2
Report 18 years ago
#2
(Original post by ickle_katy)
anyone know how to find the equation of a parabola when your given the dirextrix and the focus, but neither contain a zero.


+ does anyone know what the difference between a parabola and a cononical parabola is?

love Katy ***
a cononical parabola? do you mean conical?
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elpaw
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#3
Report 18 years ago
#3
y²=4ax
a is the focus, -a is the directrix
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ickle_katy
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#4
Report Thread starter 18 years ago
#4
(Original post by elpaw)
a cononical parabola? do you mean conical?

nope i mean canonical?

mean anything to anyone?

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Bigcnee
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#5
Report 18 years ago
#5
Canonical Form is the standard form of a geometric entity.
A parabola has canonical form;

y^2 = 4xp

Which means that you can make substitutions xprime and yprime to get any parabolic equation into canonical form.

e.g.

y - 2 = (x + 3)^2

subs.

x' = y - 2
y' = x + 3

to transform equation into canonical form.
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ShOcKzZ
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#6
Report 18 years ago
#6
(Original post by Bigcnee)
Canonical Form is the standard form of a geometric entity.
A parabola has canonical form;

y^2 = 4xp

Which means that you can make substitutions xprime and yprime to get any parabolic equation into canonical form.

e.g.

y - 2 = (x + 3)^2

subs.

x' = y - 2
y' = x + 3

to transform equation into canonical form.
nice.
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