P

V

a = 1 (slider from -5 to 5, step 0.1)
m = 2.4 (slider from -5 to 5, step 0.1)
k = 0.6 (slider from -5 to 5, step 0.1)
f(x) = a * (x - m)^(2) + k
b: -2 * a * m
c: a * m^(2) + k
F: (m, k + 1 / (4 * a))
d: y = k - 1 / (4 * a)
A = Point(f)
B = Extremum(f)
e = OrthogonalLine(A, d)
C = Intersect(d, e)
g = Segment(A, C)
h = Segment(A, F)
j(x) = a * x^(2) + b * x + c
texto1: "f(x)=" + (LaTeX[f]) + ""
texto2: "=" + (LaTeX[j]) + ""