g(C)+g(D)=2i
g[(C+D)/2]=d
i>d
αρα?

GE=i

a = 4.199999999999999 (slider from 1 to 7, step 0.1)
b = 3.4000000000000004 (slider from -5 to 5, step 0.1)
c = 9.971428571428552 (slider from 3.5714285714285716 to 10, step 0.1)
f(x) = a * x^(2.0) + b * x + c
g = Function(f, -3.0, 3.0)
d_1: 1.0 * 1.0 x = -1.0 * 1.0 * b / (2.0 * a)
μετακΑ = -2.2 (slider from -3 to -0.7812500000000002, step 0.1)
A: (μετακΑ, g(μετακΑ))
h: 1.0 * 1.0 x = μετακΑ
C = Intersect(h, xAxis)
I_1 = Segment(A, C)
μετακΒ = 3 (slider from -0.7812500000000002 to 3, step 0.1)
B: (μετακΒ, g(μετακΒ))
k: 1.0 * 1.0 x = μετακΒ
D = Intersect(k, xAxis)
I_2 = Segment(B, D)
m = Segment(A, B)
G = Midpoint(C, D)
e = Line(G, yAxis)
E = Intersect(e, m)
i = Segment(E, G)
d = Intersect(g, i, 1.0)
H = Intersect(g, i)
j = Segment(H, G)