The general equation of second degree is Ax²+By²+Gx+Fy+C=0 ------1
Now the given conditions are A=1, B=0, C=0 Now, putting in eq. 1 x²+Gx+Fy=0 x²+Gx= -Fy For completing square, add both side (G/2)² x²+Gx+(G/2)²=-Fy+(G/2)² (x+G/2)²=-F(y-G²/4F) Or X²=-FY where X=x+G/2, Y=y-G²/4F which is the standard eq. of parabola in XY-coordinate.
