Families of Cubic Polynomial Functions (VCE SSCE Mathematical Methods): Flashcards

Set of cubic graphs sharing common form or property

Values like $a$, $b$, $c$, $h$, $k$ that vary

$y = ax^3$ where $a > 0$

$y = a(x - h)^3 + k$ where $a \neq 0$

$y = ax^3 + bx^2 + cx$ (no constant term)

$(h, k)$

Point of inflection $(h, k)$ + one additional point

Three x-axis intercepts + one additional point

Graph touches (not crosses) x-axis at that point

Four points