The equation for this parabola satisfies

(in other words, plug in each given point's coordinates
into the equation
)
Now,


and



So the equation of the parabola is

You must be given with the point of the whole line. Knowing that you would have 4 equal parts, there must be 5 divisions. The first thing to do is find the midpoint of the endpoints of the line to create a mid-partition. You now have 2 equal parts. Next, find the midpoint again for the 2 equal parts. You make 2 new parts again for each side. The total would be 4.
To find the midpoint, just find the average of the corresponding x- and y-coordinates of the 2 points. If point A(1,2) and point B is (3,4), the midpoint would be (2, 3).
For all of these cases:
a: shrink the whole shape horizontally by a times (if a is negative, then it extends -a times)
h: left shift the shape h units (if h is negative, then it right shifts -h units)
k: up shift the shape k units (if k is negative, then it down shifts -k units)