Cambridge IGCSE Additional Mathematics · Syllabus 0606 · Quadratic Functions
Quadratic Function
What is Quadratic Function?
A function of a single variable whose highest power is two, written f(x) = ax^2 + bx + c with a not equal to zero. Its graph is a parabola, symmetric about a vertical axis through a single turning point. The same function can be written in expanded form, in factorised form a(x - p)(x - q) which displays its roots, or in completed-square form a(x - h)^2 + k which displays its turning point (h, k); all three describe one curve and are equal for every value of x.
This definition is part of the Quadratic Functions chapter in Cambridge IGCSE Additional Mathematics.