Completing the Square and Turning Points (VCE SSCE Mathematical Methods): Flashcards

Polynomial form to turning point form

$y = ax^2 + bx + c$

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

$(h, k)$

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

Factor out $a$ from $x^2$ and $x$ terms only

Square of half the middle term coefficient

$x$-coordinate of vertex

Upward

Factoring from constant term too