Parabel mit Dauerwelle
Author: Prof. Dr. Dörte Haftendorn

Schalte die Bausteine und die Hilfslinien zu. Gehr auch andersherum und lasse die Summenfunktion aus den Bausteinen entstehen. 
Variiere dann auch k. Man kann auch die grüne Parabel anfassen und ziehen.

Summe

Hilfslinien

1-stangen

Sinus

Parabel

k = 0.1 (slider from -5 to 5, step 0.01)
g(x) = k * x^(2.0)
h(x) = sin(x)
t = 1
f(x) = h(x) + g(x)
a = true
A = Intersect(g, f, (-6.283185307179587, 3.947841760435744))
B = Intersect(h, xAxis, (-9.424777960667658, -1.0172166544545569E-10))
C = Intersect(h, xAxis, (-6.2831853074391395, -2.595530228380275E-10))
D = Intersect(h, xAxis, (-3.141592653589793, -1.2246467991473532E-16))
E = Intersect(h, xAxis, (3.141592653589793, 1.2246467991473532E-16))
F = Intersect(h, xAxis, (6.283185307179665, 7.880294999348168E-14))
G = Intersect(f, g, (-3.141592653589485, 0.9869604401084339))
H = Intersect(f, g, (3.141592653589793, 0.9869604401089359))
J = Intersect(h, f, (0.0, 0.0))
K = Intersect(h, xAxis, (-12.566370614359174, -1.2864981197413093E-15))
L = Intersect(g, xAxis)
M = Intersect(g, f, (6.283185307091767, 3.947841760325386))
b = Segment(A, C)
c = Segment(G, D)
d = Segment(H, E)
e = Segment(M, F)
i = false
text1: h + ""
text2: g + ""
I = Intersect(f, l, (-4.71238898038469, 3.2206609902451055))
N = Intersect(g, l)
O = Intersect(h, l, (-4.71238898038469, 1.0))
P = Intersect(xAxis, l)
Q = Intersect(g, j)
R = Intersect(j, xAxis)
S = Intersect(f, j, (-1.5707963267948966, -0.753259889972766))
T = Intersect(h, j, (-1.5707963267948966, -1.0))
U = Intersect(h, n, (1.5707963267948966, 1.0))
V = Intersect(n, xAxis)
W = Intersect(g, n)
Z = Intersect(f, n, (1.5707963267948966, 1.246740110027234))
A_1 = Intersect(g, p)
B_1 = Intersect(f, p, (4.71238898038469, 1.2206609902451055))
C_1 = Intersect(h, p, (4.71238898038469, -1.0))
D_1 = Intersect(p, xAxis)
q = Segment(A_1, B_1)
r = Segment(Z, W)
s = Segment(Q, S)
a_1 = Segment(I, N)
b_1 = Segment(D_1, C_1)
c_1 = Segment(U, V)
d_1 = Segment(R, T)
e_1 = Segment(O, P)
o = false
u = false
v = false
text3: "f(x) = " + f + ""