Mathematics
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OpenStudy (anonymous):
write the equation of the parabola with focus (1, -3) and vertex (5, -3)??
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OpenStudy (amistre64):
it opens to the left
OpenStudy (amistre64):
the a value = 4
y^2 =16x modify for off centered
OpenStudy (anonymous):
alright thanks, but how did you know that
OpenStudy (amistre64):
opps; opens left
OpenStudy (amistre64):
the line between the vertex and foci is straight along the y = -3 axis
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OpenStudy (amistre64):
the vertex is the bend and the focus is inside the curve
OpenStudy (amistre64):
the distance from the vertex to the focus is the "a" value in the parabola formula from geometery
OpenStudy (amistre64):
y^2 = -4ax
OpenStudy (anonymous):
is that the directrix?
OpenStudy (amistre64):
the directix is on the other side of the vertex; the distance 'a'
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OpenStudy (amistre64):
the directix would be at x=9
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
thank you
OpenStudy (amistre64):
youre welcome :)
the complete answer is:
(y+3)^2 = -16(x-5)
OpenStudy (anonymous):
lol thanks again :)
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OpenStudy (anonymous):
do you know what the latus rectum of a ellipse is?
OpenStudy (amistre64):
sounds painful; .... i prolly do, but just dont know the proper term for it :)
OpenStudy (anonymous):
haha i was out of school and i come back i was like wtf???
OpenStudy (amistre64):
it is defined as the chord running thru the focus
OpenStudy (anonymous):
mhmm
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OpenStudy (anonymous):
amistre64 come back to mine please
OpenStudy (amistre64):
(y+3)^2 = -16(x-5) plug in x = 1
-16(-4) =
y^2 + 9 + 6y = -64
y^2 +6x +73 = 0
OpenStudy (amistre64):
6x shoulda been 6y
OpenStudy (amistre64):
the latus rectum is the line thru the foci and those y values
OpenStudy (anonymous):
but thats a parabola right? the ellipse's equation is (x-3)^2/16 + (y+6)^2/4 = 1
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OpenStudy (amistre64):
i forgot how to multiply lol
OpenStudy (amistre64):
same concept; its the line thru the focus that runs perp to the center line
OpenStudy (anonymous):
oh ok
well, thank you
OpenStudy (amistre64):
we got about a min b4 they shut the site down for maintainence
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OpenStudy (anonymous):
dang