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OpenStudy (lovelyharmonics):

parabolas

OpenStudy (lovelyharmonics):

Find the standard form of the equation of the parabola with a focus at (5, 0) and a directrix at x = -5.

OpenStudy (lovelyharmonics):

very good.... except for the fact that the address is not for my problem .-. @halorazer

OpenStudy (anonymous):

No, it's not. I didn't say I'd give you the answer.

OpenStudy (lovelyharmonics):

i didnt ask for an answer

OpenStudy (anonymous):

If you follow the steps given then you could use them for your own question doe

OpenStudy (lovelyharmonics):

nuuu it dosen't because i don't speak math and i do not understand where to get the letters from it explains half way.stating that y is the directrix but it doesn't explain for x, h, p, nor k

ganeshie8 (ganeshie8):

start by finding the vertex

OpenStudy (lovelyharmonics):

wouldnt that be 0?

ganeshie8 (ganeshie8):

focus at (5, 0) and a directrix at x = -5. vertex lies exactly half way between focus and directrix so vertex = (5-5/2, 0) = (0,0)

ganeshie8 (ganeshie8):

yes !

OpenStudy (lovelyharmonics):

and then what do i do c:

ganeshie8 (ganeshie8):

OpenStudy (lovelyharmonics):

wait is 0 x, h, p or k?

ganeshie8 (ganeshie8):

since the parabola is centered at origin, you can use the equation from second column in attached table..

ganeshie8 (ganeshie8):

vertex = (h, k) = (0, 0)

ganeshie8 (ganeshie8):

\(\large x = \dfrac{1}{4c}y^2\)

OpenStudy (lovelyharmonics):

so its 1/20y^2

ganeshie8 (ganeshie8):

Correct !!

OpenStudy (lovelyharmonics):

thank you c:

ganeshie8 (ganeshie8):

np :)

OpenStudy (lovelyharmonics):

do you have any more of those pictures for hyperbolas or ellipses

ganeshie8 (ganeshie8):

yes i have them for all conics

OpenStudy (lovelyharmonics):

can i please have those c:

ganeshie8 (ganeshie8):

parabola with vertex at origin (0, 0)

ganeshie8 (ganeshie8):

parabola with vertex anywhere (h, k)

ganeshie8 (ganeshie8):

ellipses centered at origin (0,0)

ganeshie8 (ganeshie8):

ellipse centered anywhere (h, k)

ganeshie8 (ganeshie8):

hyperbola centered at origin (0,0)

ganeshie8 (ganeshie8):

hyperbola centered anywhere (h, k)

ganeshie8 (ganeshie8):

thats all you need for conics - 6 charts

OpenStudy (lovelyharmonics):

oh thank you c:

ganeshie8 (ganeshie8):

yw :)

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