Question

Write the equation y^2+4y+4x=3 in standard form and graph. Name the curve, find the center, focus and directrix. Help me solve please!

Answer 1

bring equation in form of (y-h)^2=(x-k)+c

where h,k is centre

Answer 2

how?

Answer 3

y^2+4y=-4x+3
add 2on both sides
y^2+4y+2=-4x+3+2
(y+2)^2=-4x+5
(y-(-2))^2=-4x+4+1=-4(x-1)+1
centre is -2,-1

Answer 4

why did u add 2

Answer 5

to bring y^2+4y+2 into perfect square form because (a+b)^2=a2+2ab+b2 =y^2+2*2*y+2