Scheitelpunktform a(x+b)²+c

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Normalform ax²+bx+c

Faktorisierte Form a(x+b)(x+c)

a = 1 (slider from -5 to 5, step 0.1)
b = 1 (slider from -5 to 5, step 0.1)
c = -2 (slider from -5 to 5, step 0.1)
Scheitelpunktform(x) = a (x + b)^(2) + c
e = true
Normalform(x) = a x^(2) + b x + c
d = false
Scheitel_1 = Extremum(Normalform)
Scheitel = Extremum(Scheitelpunktform)
text2: "f(x)=" + a + "\cdot (x " + (If[b < 0, "-", "+"]) + (abs(b)) + ")²" + (If[c < 0, "-", "+"]) + (abs(c))
text3: "f(x)=" + a + "x² " + (If[b < 0, "-", "+"]) + (abs(b)) + "x  " + (If[c < 0, "-", "+"]) + (abs(c))
text4: "f(x)=" + a + "(x  " + (If[b < 0, "-", "+"]) + (abs(b)) + ")(x  " + (If[c < 0, "-", "+"]) + (abs(c)) + ")"
f = false
Faktorisiert(x) = a * (x + b) * (x + c)
A, B = Root(Normalform)
Scheitel_2 = Extremum(Faktorisiert)
D, E = Root(Faktorisiert)
C, F = Root(Scheitelpunktform)