Gráfica de f

Gráfica de g

Ejes desplazados

Gráfica de h

g(x)\,=\,  f(x-x_0)+ \,y_0

h(x)\,=\,k_y\,\,  g\left( \frac{x}{k_x} \right)

Banda vertical

F

G

H

f(x) =

Alejar

Acercar

F = Point(xAxis)
F2: F + (2, 0)
F1: F - (2, 0)
p = Segment(F - (2, 0), F + (2, 0))
ancho: x(Corner[3] - Corner[4])
alto: y(Corner[4] - Corner[1])
inc = Min(ancho / 1714, alto / 1714)
Pos1: Corner[4] + ((18 * inc), (-434 * inc))
Pos1sup: Corner[4] + ((35 * inc), (-88 * inc))
Pos1inf: Corner[4] + ((35 * inc), (-376 * inc))
Pos2: Corner[4] + ((58 * inc), (-434 * inc))
seg1 = Segment(Pos1inf, Pos1sup)
f(x) = x^(2)
f1: f
x_0 = 0 (slider from -5 to 5, step 0.01)
y_0 = 0 (slider from -5 to 5, step 0.01)
k_x = 1 (slider from -5 to 5, step 0.01)
k_y = 1 (slider from -5 to 5, step 0.01)
verGraficaF = true
verGraficaG = true
verEjesDesplazados = true
verGraficaH = true
ejeDesX: y = y_0
O: (x_0, y_0)
T1 = (15, 3)
T2 = (15, 2.5)
T3 = (15, 1.5)
T4 = (15, 1)
texto8: "x_0 = " + x_0
texto9: "y_0 = " + y_0
texto10: "k_x = " + k_x
texto11: "k_y = " + k_y
g(x) = f1(x - x_0) + y_0
h(x) = (k_y * g(x / k_x))
CF = Point(p)
semiF1 = Ray(CF, CF + (0, 1))
semiF2 = Ray(CF, CF - (0, 1))
DF1 = Intersect(f1, semiF1, (1.1799999999999997, 1.3923999999999994))
DF2 = Intersect(f1, semiF2, (3, -0.03901556531923956))
lugar1 = Locus(DF1, CF)
lugar2 = Locus(DF2, CF)
poli1, poli1a, poli1b, poli1c, poli1d = Polygon((x(F1), y(Corner[3])), (x(F2), y(Corner[3])), (x(F2), y(Corner[1])), (x(F1), y(Corner[1])))
AF: (x(F), f1(x(F)))
CG = Point(Segment[F1 + O, F2 + O])
semiG1 = Ray(CG, CG + (0, 1))
semiG2 = Ray(CG, CG - (0, 1))
DG1 = Intersect(g, semiG1, (0.54, 0.2916))
DG2 = Intersect(g, semiG2, (2.9800000000000004, -0.019025424395332637))
lugar3 = Locus(DG1, CG)
lugar4 = Locus(DG2, CG)
ejeDesY: x = x_0
AG: AF + O
verBanda = false
CH = Point(Segment[((x(F1 + O) * k_x), (y(F1 + O) * k_y)), ((x(F2 + O) * k_x), (y(F2 + O) * k_y))])
semiH1 = Ray(CH, CH + (0, 1))
semiH2 = Ray(CH, CH - (0, 1))
DH1 = Intersect(h, semiH1, (0.677777777777778, 0.4593827160493831))
DH2 = Intersect(h, semiH2, (5.387555555555558, 4.164712431297711))
lugar5 = Locus(DH1, CH)
lugar6 = Locus(DH2, CH)
AH: ((x(AF + O) * k_x), (y(AF + O) * k_y))
fT = Textfield(f)
A = (-3.35, 6)
B = (-1.05, 5.58)