Last updated on Sep 20, 2026

Quadratic Functions (VCE SSCE Mathematical Methods): Flashcards

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Quadratic Functions

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Degree of quadratic function

$2$

General turning point form of quadratic

$y = a(x - h)^2 + k$

Vertex coords in $y = a(x - h)^2 + k$

$(h, k)$

Axis of symmetry for $y = ax^2 + bx + c$

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

Parabola width when $a > 1$

Narrower

Parabola opens which way when $a > 0$ ?

Upward

Parabola opens which way when $a < 0$ ?

Downward

Discriminant formula

$\Delta = b^2 - 4ac$

Number of real solutions when $\Delta > 0$

Two distinct real solutions

Number of real solutions when $\Delta = 0$

One repeated real solution

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