Graph Parabolas (HSC SSCE Mathematics Advanced): Flashcards

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

Concavity (direction parabola opens)

$a > 0$

The y-intercept

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

$\Delta = b^2 - 4ac$

No x-intercepts

$\mathbb{R}$ (all real numbers)

$[k, \infty)$

The value of $|a|$