a = 6 (slider from 1 to 12, step 0.1)
b: (-2 * a)
c = 0 (slider from -5 to 5, step 1)
d: y = (a * x^(2)) + (b * x) + c
A = Point(d)
L = 2 (slider from -5 to 5, step 1)
B: (x(A) + L, (a * (x(A) + L)^(2)) + (b * (x(A) + L)) + c)
e = Line(A, B)
f = IntegralBetween(((-(x(e) / y(e))) * x) - z(e) / y(e), (a * x^(2)) + (b * x) + c, x(A), x(B))
g = Segment(A, B)
h = Integral((a * x^(2)) + (b * x) + c, 0, 2)
i = Segment((0, 0), (2, 0))
C = Point(d)
D: (x(C) + L, (a * (x(C) + L)^(2)) + (b * (x(C) + L)) + c)
j = Line(C, D)
k = IntegralBetween(((-(x(j) / y(j))) * x) - z(j) / y(j), (a * x^(2)) + (b * x) + c, x(C), x(D))
l = Segment(C, D)
E = Intersect(m, n)
F = Point(n)
G = Point(m)
I = Point(n)
J = Point(m)
u = Vector(I, F)
v = Vector(J, G)
text1: "y=" + (LaTeX[a]) + "x^{2}" + (LaTeX[b]) + "x"