x_s = -3 (slider from -5 to 5)
y_s = -5.5 (slider from -7 to 2)
a = -0.5 (slider from -5 to 5)
f(x) = (a * (x - x_s)^(2)) + y_s
b = 2 (slider from -5 to 5)
c = 0 (slider from -5 to 5)
g(x) = (a * x^(2)) + (b * x) + c
m = -0.5 (slider from -5 to 5)
n = 2 (slider from -5 to 5)
h(x) = (m * x) + n
q = 0.3 (slider from -5 to 5)
r = -3 (slider from -5 to 5)
S_f = Extremum(f)
S_g = Extremum(g)
N_1 = Root(f)
N_3, N_4 = Root(g)
N_5 = Root(h)
P_1 = Intersect(f, g)
P_6, P_7 = Intersect(g, h)
A = (-6, -4)
B = (-2, 4)
i = Line(A, B)
N_6 = Root(i)
Q_3 = Intersect(h, i)