Graphs of quadratic functions (AQA GCSE Further Maths): Flashcards

Parabola

$y = ax^2 + bx + c$

Coefficient of $x^2$ (the 'a' value)

Opens upward (U-shape)

Minimum value (lowest point)

Opens downward (upside-down U)

Maximum value (highest point)

The turning point (max or min)

Vertical line through the vertex

$x = \text{(x-coordinate of vertex)}$

The constant term 'c'

Substitute $x = 0$ into the equation

Makes the vertex easy to identify

$(x + p)^2 + q$

$-p$