COMEDK Exam 2013 Solved Paper

The vertex and focus of the parabola are (0,6) and (0,3) respectively.
Clearly. axis is Y- axis.
∴ Latusrectum =4(Distance between vertex and focus)
=4√(0−0)2+(6−3)2=12
Also, the vertex is on the right hand side of the focus, so the parabola opens downward.
Hence, equation of the parabola is
(x−0)2=−12(y−6)
⇒x2=12y+72
⇒x2+12y=72