f(x) =

Acercar

Alejar

y=a \space f(b \space x+c)+d

f(x) = (((x + 5) * (x - 1)) * (x - 4) / 40)
f1 = Textfield(f)
A = Point(f)
a = 1 (slider from 0 to 9, step 0.1)
b = 1 (slider from 0 to 9, step 0.1)
c = 0 (slider from -5 to 5, step 0.1)
d = 0 (slider from -5 to 5, step 0.1)
g(x) = (a * f((b * x) + c)) + d
B: A + (0, d)
u = Vector(A, B)
C: B - (c, 0)
v = Vector(B, C)
D: (x(C) / b, y(C))
esc = 1
w = Vector(C + (0, 0.15 / esc), D + (0, 0.15 / esc))
E: (x(D), ((y(D) - d) * a) + d)
e = Vector(D + (0.15 / esc, 0), E + (0.15 / esc, 0))
A': ((-x(A)), f((-x(A))))
B': A' + (0, d)
C': B' - (c, 0)
D': (x(C') / b, y(C'))
E': (x(D'), ((y(D') - d) * a) + d)
w' = Vector(C' - (0, 0.15 / esc), D' - (0, 0.15 / esc))
lista1 = Sequence((k * f((b * x) + c)) + d, k, 1 + (a - 1) / 10, a, (a - 1) / 10)
cc = If(c ≟ 0, "", c > 0, ("+ " * c), ("" * c))
dd = If(d ≟ 0, "", d > 0, ("+ " * d), ("" * d))
aa = If(a ≟ 1, "f", (("" * a) * "f"))
bb = If(b ≟ 1, "x", (("" * b) * "x"))
texto2_1: "y=" + (LaTeX[aa]) + "(" + (LaTeX[bb]) + "" + (LaTeX[cc]) + ")" + (LaTeX[dd]) + ""