Antwort bearbeitet: Quadratische Funktion umwandeln

Verallgemeinert:

a·x^2 + b·c + c

= a·(x^2 + b/a·x) + c

= a·(x^2 + b/a·x + (b/(2·a))^2 - (b/(2·a))^2) + c

= a·(x^2 + b/a·x + (b/(2·a))^2) + c - b^2/(4·a)

= a·(x + b/(2·a))^2 + c - b^2/(4·a)

Scheitel:

S( - b/(2·a) | c - b^2/(4·a) )