Shift the origin to a suitable point so that the equation y2+4y+8x−2=0 will not contain y and constant terms is

y2+8x+4y−2=0; New origin = (h,k)(Y+k)2+8(X+h)+4(Y+k)−2=0Coeff of Y = 0 ⇒ 2k+4=0 ⇒k=-2coefficient term = 0⇒k2+8h+4k−2=0⇒h=34∴ New origin =34,−2