Last updated on Sep 20, 2026

The Truncus (VCE SSCE Mathematical Methods): Quizzes

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The truncus

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What shape does the basic truncus $y = \frac{1}{x^2}$ create?

U-shaped curve

Why is the truncus undefined at $x = 0$ ?

Cannot divide by zero

For the basic truncus $y = \frac{1}{x^2}$ , what type of values does it produce?

Only positive

For $y = \frac{1}{x^2}$ , what is the y-value when $x = 2$ ?

$\frac{1}{4}$

What are the asymptotes for the basic truncus $y = \frac{1}{x^2}$ ?

$x = 0$ and $y = 0$

As $x \to \infty$ for $y = \frac{1}{x^2}$ , what happens to $y$ ?

$y \to 0^+$

In $y = \frac{a}{(x-h)^2} + k$ , what happens if $a$ is negative?

Graph opens downward

For $y = \frac{a}{(x-h)^2} + k$ , what is the horizontal asymptote?

$y = k$

For $y = \frac{a}{(x-h)^2} + k$ , what is the vertical asymptote?

$x = h$

What symmetry property does the truncus have?

Symmetric about vertical asymptote

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Rectangular Hyperbolas

The Truncus

Two Important Graphs

Circles

Determining Rules

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