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parabola's

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 ***
Reply 1
Avatar for elpaw
elpaw
15
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?
Reply 2
Avatar for elpaw
elpaw
15
y²=4ax
a is the focus, -a is the directrix
Reply 3
Avatar for ickle_katy
ickle_katy
OP
11
elpaw
a cononical parabola? do you mean conical?



nope i mean canonical?

mean anything to anyone?

love Katy ***
Reply 4
Avatar for Bigcnee
Bigcnee
11
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.
Reply 5
Avatar for ShOcKzZ
ShOcKzZ
7
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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