# Thread: Conic Second

1. ## Conic Second

Investigate the conic section 4x^2+Y^2-8x+4y+4=0 give all pertinent information and sketch

i have no idea what conics are and what am i supposed to do

2. Hello,
Originally Posted by Dragon
Investigate the conic section 4x^2+Y^2-8x+4y+4=0 give all pertinent information and sketch

i have no idea what conics are and what am i supposed to do
Conic section - Wikipedia, the free encyclopedia

$4x^2+y^2-8x+4y+4=0$

$(4x^2-8x+4)+y^2+4y=0$

$4(x^2-2x+1)+y^2+4y+4-4=0$

$4(x-1)^2+(y+2)^2=4$

Divide by 4 :

$(x-1)^2+\frac{(y+2)^2}{2^2}=1$

See here : Conic section - Wikipedia, the free encyclopedia the formula of the ellipse