The vertex of a parabola is the point (a, b) and the latus rectum is of length l. If the axis of the parabola is parallel to the y-axis and the parabola is concave upward, then its equation is

The parabola having the axis parallel to the y-axis is(x−a)2=4A(y−b)According to the question, the length of latus rectum is 4A = l.Hence, the equation of the parabola is(x−a)2=l(y−b) or  (x−a)2=l2(2y−2b)