Mathematics
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OpenStudy (shamil98):
How do I find the focus and directrix of the following parabola?
x = (-1/8 )y^2
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OpenStudy (nincompoop):
what method you want to use?
OpenStudy (anonymous):
seperate y^2
OpenStudy (anonymous):
compare with y^2=4ax
a=your focus
OpenStudy (nincompoop):
always
OpenStudy (anonymous):
medal?
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OpenStudy (nincompoop):
naw... the medal goes to the person that answered first
OpenStudy (shamil98):
so
y^2 = 4(-8) x? ..
OpenStudy (anonymous):
:")
OpenStudy (anonymous):
yep @shamil98
OpenStudy (shamil98):
Okay, thank you.
What about the directrix?
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OpenStudy (nincompoop):
x+y^2/8 = 0
OpenStudy (anonymous):
I'll give @nincompoop the oppurtunity to answer that!
OpenStudy (nincompoop):
directx is 2
OpenStudy (shamil98):
explain pls bruh
OpenStudy (shamil98):
Oh and also is the focus and directrix written in coordinates?
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OpenStudy (nincompoop):
we know that parabola is y = a(x-h)^2 + k correct?
OpenStudy (shamil98):
yeah
OpenStudy (nincompoop):
then the relationships can be shown
y – k = a(x – h)^2
(1/a)(y – k) = (x – h)^2
4p(y – k) = (x – h)^2 <-- conics form of the equation
where 4p = 1/a
OpenStudy (shamil98):
how did you get 2 as the directrix, nin?
OpenStudy (anonymous):
oh this is still going on :O
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ganeshie8 (ganeshie8):
once u have focus, and vertex,
directrix goes thru the image of focus
OpenStudy (nincompoop):
p is your distance between the vertex and focus, which is also the distance between the vertex and directrix
OpenStudy (nincompoop):
my connection goes in and out
ganeshie8 (ganeshie8):
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