Quadratic Models (HSC SSCE Mathematics Advanced): Flashcards

$f(x) = ax^2 + bx + c$ where $a \neq 0$

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

Upward (vertex is minimum)

Downward (vertex is maximum)

$(0, c)$

$f(x) = a(x - h)^2 + k$ with vertex at $(h, k)$

$f(x) = a(x - x_1)(x - x_2)$ with roots $x_1$, $x_2$

When income equals cost; profit is zero

$(-\infty, k]$

$[k, \infty)$