DLS
  • DLS
Help finding "a" of parabola y^2=4-x.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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DLS
  • DLS
|dw:1377929729034:dw| i want this distance,i dont remember if its called "a" or whatever
Psymon
  • Psymon
|dw:1377929797281:dw|
DLS
  • DLS
sorry what o.O

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Psymon
  • Psymon
Well, those lengths are usually notated as p. P is the distance from the vertex to the directix andis also the distance from the vertex to the focus.
DLS
  • DLS
how to find?
Psymon
  • Psymon
\[y ^{2}=4px\]
anonymous
  • anonymous
hmmm can you clarify what you mean? or maybe give more full instructions you received? As this actually isn't a parabola...
anonymous
  • anonymous
@DLS
DLS
  • DLS
http://www.wolframalpha.com/input/?i=y%5E2%3D4-x&dataset=
DLS
  • DLS
clearly a parbola
Psymon
  • Psymon
So I would say that you have a random + 4 tackedon to the end of your regular form of a parabola. Give y^2 = 4px, ignored the extra positive 4, we just have \[y ^{2}=-x \]The coefficient of x = 4p. So if you want that P distance, divide the coefficient by 4 to simply get -1/4
anonymous
  • anonymous
oh! Sorry, that's actually not standard for graphing a y^2 thing... as technically a function can't cross itself my apologies, didn't realize what they were intending
DLS
  • DLS
i am guessing \[\LARGE y ~~\alpha ~-x\] and the centre is shifted 4 units??
Psymon
  • Psymon
Yeah, it's just a shift, but otherwise it fits the y^2 = 4px form. So I would say that p is -1/4.
DLS
  • DLS
its 4..
Psymon
  • Psymon
The distance p is 4?
DLS
  • DLS
yes
DLS
  • DLS
http://prntscr.com/1ogjqd see its 4 units on WF too
DLS
  • DLS
it should be 4 only infact,i seem to get it
Psymon
  • Psymon
Oh, wait, we want distance from the y-axis?
ganeshie8
  • ganeshie8
that 4 units is distance from origin to vertex. its not the distance from focus to vertex
DLS
  • DLS
plot y=-x and shift the centre/focus whatever 4 units so its 4 obviously :o
anonymous
  • anonymous
What do you mean by "a" of the parabola? @DLS
Psymon
  • Psymon
The distance P I'm speaking of is merely the distance from the vertex to the focus.
DLS
  • DLS
vertex yeah* seem to forget co-ordinate
DLS
  • DLS
thanks everyone :D
Psymon
  • Psymon
Yep, sure ^_^
ganeshie8
  • ganeshie8
\(a\) you talking about is the distance from focus/directrix to vertex (indian terminology) a is p everywhere else
DLS
  • DLS
i see :o

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