kv.f-a
Author: Dani

Which is the graph of  f(x) = | ax² + bx+c | ?
And what about g(x) =  ax² + bx+c ?
Explore the behaviour and the relationship between 
the two graphs when changing the parameters.

a = -0.39999999999999947 (slider from -5 to 5, step 0.1)
b = -2.1999999999999993 (slider from -7 to 7, step 0.1)
c = 7 (slider from -9 to 7, step 0.1)
g(x) = a x x + b x + c
f(x) = abs(a x x + b x + c)
A, B = Intersect(g, xAxis)
V = Extremum(g(x))
d = OrthogonalLine(V, xAxis)
D = Intersect(d, xAxis)
e = Segment(D, V)
V1, V2, X1_1 = Extremum(f(x))
h = Segment(V1, D)
i = Segment(V2, D)