Find the equation of a parabola whose end points of Latus rectum are given by (7,5) and (7,3). also find the end points where this parabola meets the coordinate axes?

Since the co-ordinates of latus rectum are (7,5) and (7,3) so the length of the latus rectum is  2 units.

Let the vertex of the parabola be (a,b)

So the equation of the parabola