Quadratics (AQA A-Level Mathematics): Flashcards

$y = ax^2 + bx + c$

Parabola

Opens upwards (U shape)

Opens downwards (upside-down U)

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

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

$(0, c)$

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

Two distinct real roots

One real root (repeated)