Linear, Quadratic and Cubic Functions (HSC SSCE Mathematics Advanced): Flashcards

Set of all possible $x$-values

Set of all possible $y$-values

Does not affect slope (gradient)

$g(x) = -f(x)$ (vertical flip)

$g(x) = f(-x)$ (horizontal flip)

Turning point (maximum or minimum)

Graph stretches (becomes steeper)

Graph compresses (becomes flatter)

Substitute $x = 0$ into function

Dilation/reflection first, then translation