Quadratic Graphs (Edexcel A-Level Mathematics): Flashcards

$y = ax^2 + bx + c$

Parabola

Opens upwards (U shape)

Opens downwards (upside-down U)

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

Minimum point

Maximum point

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

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

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

Two distinct real roots

One real root (repeated)

No real roots

Roots or zeros

When $y = 0$