Last updated on Sep 20, 2026

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

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Cubic Functions of a Particular Form

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For $y = a(x - h)^3 + k$ , what are the coordinates of the point of inflection?

$(h, k)$

What happens to $y = x^3$ when $a > 1$ in $y = ax^3$ ?

Graph becomes steeper (narrower)

What is the domain of all cubic functions?

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

For $y = (x - 3)^3$ , how is the graph of $y = x^3$ transformed?

Translated 3 units to the right

After vertical translation by $k$ units, where is the point of inflection of $y = x^3 + k$ ?

$(0, k)$

What unique property do cubic functions have regarding reflections?

x-axis reflection = y-axis reflection

What is the inverse function of $f(x) = x^3$ ?

$f^{-1}(x) = x^{\frac{1}{3}}$

What does $\sqrt[3]{x^3}$ equal?

$x$

For $y = (x - 2)^3 + 4$ , what is the y-intercept (when $x = 0$ )?

$y = -4$

What is the first step when sketching $y = a(x - h)^3 + k$ ?

Identify point of inflection $(h, k)$

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