x=-b/2a

Choisis une valeur pour a.
Fais varier les coefficients α et β.
Quelles conjectures peux tu faire ?

f(x)=a (x-α)²+β

e

a = 3 (slider from -5 to 5, step 1)
α = 4 (slider from -5 to 5, step 1)
β = -5 (slider from -5 to 5, step 1)
ac: (a * β)
d: x = ((-α)) / ((2 * a))
g(x) = (a * (x - α)^(2)) + β
text1: "L'expression de la fonction est :
f(x) = " + a + " (x - " + α + " ) ² + " + β + " "
S: (α, g(α))
b = OrthogonalLine(S, xAxis)
c = OrthogonalLine(S, yAxis)
B = Intersect(b, xAxis)
C = Intersect(yAxis, c)
e = Segment(S, B)
f = Segment(S, C)
A = Intersect(xAxis, yAxis)