the equation of vertex: (5,4) focus: (5,8).
Since the x coordinates of vertex and focus are same, the focus and the vertex lies on the same vertical line, x=5. So, the parabla has vertical symmetry. The focus is above vertex as seen from the coordinates. So, the parabola opens upwards.
a=8-4=4.
The equation for vertical parabola is,
So, the equation of parabola can be obtained as,
Therefore, the equation of parabola is