- anonymous

what is the name of this conic? :
4x^2 + 4y^2 + 16x - 24y + 8 = 0

- schrodinger

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- myininaya

Circle

- anonymous

thanks

- myininaya

Since the coefficients of x^2 and y^2 are the same

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## More answers

- anonymous

ok, and is this an ellipse:
x^2 + 9y^2 - 14x + 36y + 49 = 0

- anonymous

damn, myininaya you are GOOD at maths

- myininaya

it is an ellipse since the coefficients are not the same but both positive

- anonymous

ok thank you

- myininaya

whatever andruis Apparently I'm not that good since I can't figure out your problem

- myininaya

And there was no math involved here lol

- anonymous

:D, still, you are like 100 times better than me

- anonymous

how would you go about generating an equation for a parabola with diretrix x=6 and vertex (3,8) ??

- myininaya

brb i have to pee but the equation of parabola is f(x)=a(x-h)^2+k where (h,k) here =(3,8). So now all we have to find is a

- anonymous

whoa dude your aewsome

- anonymous

awesome* lol

- myininaya

honestly i never heard of a diretrix

- myininaya

i have to look it up

- anonymous

its "a fixed line" having to deal with a parabola, like the focus is a " fixed point"

- myininaya

ok. The equation y^2=4px is a parabola with focus (p,0) and directrix x=-p so...

- myininaya

omg wait

- anonymous

ok

- myininaya

i think im fixing to figure something out

- anonymous

thanks ive been out of school for weeks cuz i broke my arm my collar bone and my back lol so i havnt learned any of this

- myininaya

I think a is -1/24 since p=1/4a and p=-6 since the directrix is x=6

- myininaya

so I think the parabola is f(x)=-1/24(x-3)^2+8

- anonymous

thats great man i appreciate it

- myininaya

let me rewrite this so there is no confusion f(x)=-1*(x-3)^2/24+8

- myininaya

i'm not a man lol

- anonymous

oops my bad

- myininaya

I could be wrong though. you should check with someone else

- anonymous

alright well thanks anyway

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