Explore the behaviour of  f(x)=ax²+bx+c.
by changing the parameters.
Explain what is the meaning of each color.

a = -0.09999999999999964 (slider from -5 to 5, step 0.1)
b = 0 (slider from -5 to 5, step 0.1)
c = 8 (slider from -5 to 8, step 0.1)
f(x) = a x x + b x + c
A, B = Intersect(f, xAxis)
g = If(f(x) > 0, f(x))
h = If(f(x) < 0, f(x))
V = Extremum(f(x))