Cubic Functions of a Particular Form (VCE SSCE Mathematical Methods): Flashcards

$f(x) = a(x - h)^3 + k$

$(h, k)$

$\mathbb{R}$ (all real numbers)

$\mathbb{R}$ (all real numbers)

Graph becomes steeper (narrower)

Graph becomes less steep (broader)

$f^{-1}(x) = x^{\frac{1}{3}}$ or $\sqrt[3]{x}$

$h$ units right ($h > 0$) or left ($h < 0$)

$k$ units up ($k > 0$) or down ($k < 0$)

$(0, 0)$