Prova

Mostra il luogo dei vertici al variare di b

a = 0.5 (slider from -8 to 8, step 0.1)
b = -2.5 (slider from -8 to 8, step 0.1)
c = 0.9 (slider from -8 to 8, step 0.1)
d: y = (a * x^(2)) + (b * x) + c
e: y = c - (a * x^(2))
f = true
testo2: "" + (LaTeX[d]) + ""
ac: (a * c)
V: (((-b)) / ((2 * a)), ((4 * ac) - b^(2)) / ((4 * a)))
a_1 = FractionText(a)
b_1 = FractionText(b)
c_1 = FractionText(c)
testo1: "a=" + (LaTeX[a_1]) + ""
testo3: "b=" + (LaTeX[b_1]) + ""
testo4: "c=" + (LaTeX[c_1]) + ""
Delta: b^(2) - (4 * ac)
testo5: "\Delta=b^2-4ac=" + (LaTeX[Delta]) + ""
V1 = FractionText(V)
testo7: "\text{vertice } V=\left(-\frac{b}{2a},-\frac{\Delta}{4a}\right)=" + (LaTeX[V1]) + ""
A = Intersect(d, xAxis, 2)
B = Intersect(d, xAxis, 1)
C = Intersect(d, yAxis, 1)
A1 = FractionText(A)
B1 = FractionText(B)
C1 = FractionText(C)
testo8: "A=" + (LaTeX[A1]) + ""
testo9: "B=" + (LaTeX[B1]) + ""
testo10: "C=" + (LaTeX[C1]) + ""