f ( x ) = a \cdot x^2 + b \cdot  x + c

Δ = b^2 -   4 \cdot a \cdot c

x_1 = \frac{-b - \sqrt{Δ}}{2 \cdot a}

x_2 = \frac{-b + \sqrt{Δ}}{2 \cdot a}

x_0 = -\frac{c}{b}

a = 1 (slider from -5 to 5, step 0.02)
b = 0 (slider from -10 to 10, step 0.1)
c = 0 (slider from -20 to 20, step 0.1)
f(x) = a * x^(2.0) + b * x + c
texte1: "Δ = " + (b * b - 4.0 * a * c) + ""
P: (-(b / (2.0 * a)), -(b^(2.0) - 4.0 * a * c) / (4.0 * a))
Visible = 0.2 (slider from 0 to 5, step 0.2)
texte3: "x_1 = " + ((-(b) - sqrt(b^(2.0) - 4.0 * a * c)) / (2.0 * a))
texte4: "x_2 = " + ((-(b) + sqrt(b^(2.0) - 4.0 * a * c)) / (2.0 * a))
A, B = Intersect(f, xAxis)
texte8: "x_0 = " + (-(c) / b)
P_1: (-(0.5) * b / a + 1.0, a - 0.25 * b^(2.0) / a + c)
P_2: (-(0.5) * b / a - 1.0, a - 0.25 * b^(2.0) / a + c)
P_3: (-(0.5) * b / a + 2.0, 4.0 * a - 0.25 * b^(2.0) / a + c)
P_4: (-(0.5) * b / a - 2.0, 4.0 * a - 0.25 * b^(2.0) / a + c)
P_5: (-(0.5) * b / a + 3.0, 9.0 * a - 0.25 * b^(2.0) / a + c)
P_6: (-(0.5) * b / a - 3.0, 9.0 * a - 0.25 * b^(2.0) / a + c)
P_7: (-(0.5) * b / a + 4.0, 16.0 * a - 0.25 * b^(2.0) / a + c)
P_8: (-(0.5) * b / a - 4.0, 16.0 * a - 0.25 * b^(2.0) / a + c)
Visible_.Pts = 0.4 (slider from 0 to 6, step 0.2)
texte9: "-\frac{b}{2 \cdot a} = {}" + (-(b) / (2.0 * a))
texte10: "-\frac{Δ}{4 \cdot a} = {}" + (-b^(2.0) / (4.0 * a) + c)