Derive the equation of the parabola with a focus at (0, -4) and a directrix of y = 4.
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undeadknight26 (undeadknight26):
I got f(x) = 16x^2
OpenStudy (anonymous):
Still using that picture, eh?
OpenStudy (anonymous):
Pretty embarrassing tbh.
undeadknight26 (undeadknight26):
Ayeeeee XD
undeadknight26 (undeadknight26):
Its fine by me lel
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OpenStudy (haseeb96):
for equation of Parabola
the focus is given that is
(0,-4)
and the directrix y=4
OpenStudy (haseeb96):
here a =-4
and this parabola is along y axis
so the equation would be in this form
x=4ay
now just put a =-4 in the above equation and get the answer
OpenStudy (haseeb96):
*x^2 =4ay
OpenStudy (haseeb96):
x^2 = 4(-4) y
x^2 =-16 y
is the equation of parabola
undeadknight26 (undeadknight26):
sooo:
x^2 = 4(-4)y?
x^2 = -16y?
should i now invert it so its:
y = -16x^2?
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OpenStudy (haseeb96):
no when focus =(a,0) is on this condition then
we will use this equation parabola
that is
y^2=4ax
and when focus =(0,a) is on this condition then
we will use this equation parabola
that is
x^2=4ay
okay
i think u got it