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Mathematics 20 Online
OpenStudy (anonymous):

the

OpenStudy (anonymous):

you know what this looks like? if so we can do it quick

OpenStudy (anonymous):

|dw:1417405705715:dw|

OpenStudy (anonymous):

that means your parabola has vertex half way between \((0,-4)\) and \((0,4)\) namely at \((0,0)\) so it will be easy to find the equation it also means the parabola opens down

OpenStudy (anonymous):

|dw:1417405836095:dw|

OpenStudy (anonymous):

it means the coefficient of the y term will be negative, yes because the vertex is \((0,0)\) it will look like \[-4py=x^2\] where \(p\) is the distance between the focus and the vertex, namely \(p=4\)

OpenStudy (anonymous):

plug in the 4 and get \[-16y=x^2\] and you are done

OpenStudy (anonymous):

you can check the answer is right by clicking here http://www.wolframalpha.com/input/?i=parabola+-16y%3Dx^2 and sure happy to help anyone who says FLVSuscks

OpenStudy (anonymous):

i got the dreaded question marks, let me refresh the browser so they will go away

OpenStudy (anonymous):

ok focus is \((-5,5)\) and directrix is \(y=-1\) lets draw it

OpenStudy (anonymous):

|dw:1417406229907:dw|

OpenStudy (anonymous):

this one opens up the vertex is half way between \((-5,5)\) and \((5,-1)\) namely at \((-5,2)\)

OpenStudy (anonymous):

|dw:1417406340986:dw|

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