Quadratic (Leaving Cert Mathematics): Flashcards

$y = ax^2 + bx + c$

Parabola

Opens upwards (U shape)

Opens downwards (upside-down U)

Point where graph changes direction

Minimum point

Maximum point

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

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

$c$ or point $(0, c)$

$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$b^2 - 4ac > 0$

$b^2 - 4ac = 0$

$b^2 - 4ac < 0$