anonymous
  • anonymous
Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4. f(x) = −16x2 f(x) = 16x2 f(x) = −one sixteenth x2 f(x) = one sixteenthx2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@satellite73 @princeharryyy
anonymous
  • anonymous
@pooja195
anonymous
  • anonymous
Ans: f(x) = (-1/16)*(x²) D.

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More answers

anonymous
  • anonymous
how did you get that ?
anonymous
  • anonymous
@WhateverYouSay
anonymous
  • anonymous
If the focus is at (0,-4) and the directrix is y = 4 then the vertex of the parabola is midway between these two features at (0,0). The parabola is thus a downward opening parabola with the standard equation x² = 4cy where c is the distance from the vertex to the focus. In this question, c = -4.
anonymous
  • anonymous
is that the formula that you would use for all parabola equations?
anonymous
  • anonymous
@nono266 can you explain this better?
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
well it say's it's the standard equation. So i am assuming yes...
anonymous
  • anonymous
how do you know which one is 'C'
princeharryyy
  • princeharryyy
still need help!
princeharryyy
  • princeharryyy
??? @scenemunster
anonymous
  • anonymous
yes please
princeharryyy
  • princeharryyy
ok! from the start.
princeharryyy
  • princeharryyy
should we?
anonymous
  • anonymous
yes how do you do that?
princeharryyy
  • princeharryyy
The parabola can look like
princeharryyy
  • princeharryyy
|dw:1438718841051:dw|
princeharryyy
  • princeharryyy
can u see that. @scenemunster
princeharryyy
  • princeharryyy
and please if u are interested in learning u must be interactive. or u can just have answers. @scenemunster It's up to you.
anonymous
  • anonymous
yes
anonymous
  • anonymous
i understand
princeharryyy
  • princeharryyy
let's take a general form. suppose this figure.
princeharryyy
  • princeharryyy
|dw:1438719011601:dw|
anonymous
  • anonymous
this amkes no sense to me tbh
anonymous
  • anonymous
makes
princeharryyy
  • princeharryyy
now, In this figure Point B is known as the vertex of the parabola, A is known as the focus, and line D is known as Directrix of the parabola.
princeharryyy
  • princeharryyy
where C is at the same distance from origin as is the focus of parabola.
princeharryyy
  • princeharryyy
has, it started making sense @scenemunster
anonymous
  • anonymous
yes
princeharryyy
  • princeharryyy
great, The general equation of east facing parabola, whose vertex is at (0,0) is y^2 = 4ax
princeharryyy
  • princeharryyy
are you getting it.
princeharryyy
  • princeharryyy
where a is the distance from vertex to the focus of the parabola
anonymous
  • anonymous
so (a,o)?
princeharryyy
  • princeharryyy
as distance being a, and the for every positive x there will be two values of y one negative and the other positive , the parabola is sketched this way. i.e., east facing.
anonymous
  • anonymous
im so confused
princeharryyy
  • princeharryyy
where
princeharryyy
  • princeharryyy
?
anonymous
  • anonymous
the east facing parabola
princeharryyy
  • princeharryyy
|dw:1438719685600:dw|
princeharryyy
  • princeharryyy
TAKING THIS AS CONVENTION, ARE U COMFORTABLE NOW.
princeharryyy
  • princeharryyy
@scenemunster ??? please be quick! I don't have much time.
anonymous
  • anonymous
ok so a =4?
princeharryyy
  • princeharryyy
4 comes in general equation. they made the general equation this way
princeharryyy
  • princeharryyy
a is some constant which changes it's value according to question.
anonymous
  • anonymous
@amistre64 can you help as well. im sorry im naturally blonde and i dont know XD
anonymous
  • anonymous
so what is the equation like how do i set it up
princeharryyy
  • princeharryyy
Ok, leave that.
princeharryyy
  • princeharryyy
for your question.
princeharryyy
  • princeharryyy
let me make the figure.
princeharryyy
  • princeharryyy
|dw:1438720085660:dw|
princeharryyy
  • princeharryyy
where a =-4. y = -16x^2
princeharryyy
  • princeharryyy
focus of parabola (0,-4)
princeharryyy
  • princeharryyy
That means the answer is a
princeharryyy
  • princeharryyy
@scenemunster
anonymous
  • anonymous
ok. i understand but y would it be a my guess was d
princeharryyy
  • princeharryyy
wait a second, it won't actually be A or D it would be C, reason, general equation, x^2 = -4by => x^2 = -16y, b=4 =>y =-x^2/16
anonymous
  • anonymous
ok. my besty said the same thing
princeharryyy
  • princeharryyy
@scenemunster , n sorry actually I was explaining the east one so by mistake I told u A earlier.
princeharryyy
  • princeharryyy
and, later we changed the direction of parabola to south and hence the equation changed. Sorry 'bout that but the answer is C for 100%
princeharryyy
  • princeharryyy
@scenemunster
anonymous
  • anonymous
ok i got it thank you
princeharryyy
  • princeharryyy
yw :)

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