Quadratic Models (VCE SSCE Mathematical Methods): Flashcards

Finding maximum or minimum values in real-world problems

Maximising area, modelling projectiles, optimising profit/cost

$y = ax^2 + bx + c$

$y = a(x - h)^2 + k$

Converts standard form to vertex form

Maximum value; parabola opens downward

Minimum value; parabola opens upward

$x = -\frac{b}{2a}$

Three points

Parabolic path