Mathematics
7 Online
OpenStudy (anonymous):
What is the focal width of (-1/12)x^2=y?
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OpenStudy (jdoe0001):
what's a focal width?
OpenStudy (anonymous):
length of a vertical or horizontal line that
passes through the focus and touches the parabola on each end
OpenStudy (anonymous):
it says |4a|
OpenStudy (jdoe0001):
4a?
OpenStudy (anonymous):
I don't know what it means that's why I asked lol
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OpenStudy (jdoe0001):
heh, I mean, I know what you're saying, I was looking for a good graphic :)
OpenStudy (anonymous):
nevermind the 4a that was an example i thought it was like an equation for focal width
OpenStudy (jdoe0001):
but is not 4a as far as I know
OpenStudy (jdoe0001):
one sec
OpenStudy (anonymous):
okay! :)
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OpenStudy (anonymous):
i think it's either 48 or 12
OpenStudy (anonymous):
12
OpenStudy (jdoe0001):
the "c" or so-called focal point is \(c =\cfrac{1}{4a} \)
OpenStudy (jdoe0001):
so, from \(y = -\cfrac{1}{12} x^2\)
the "a" component would be coefficient of "x"
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OpenStudy (anonymous):
so is 12 a?
OpenStudy (anonymous):
or is a 3?
OpenStudy (anonymous):
I'm confused lol
OpenStudy (jdoe0001):
well, you have a negative \(-\frac{1}{12}\) that'd give you a -3
OpenStudy (anonymous):
oh true but if c=1/4a then wouldn't c=1/12??
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OpenStudy (anonymous):
with a negative lol
OpenStudy (jdoe0001):
yes
OpenStudy (anonymous):
but the only possible choices are 12 and 48