Last updated on Sep 22, 2026

Dilations (HSC SSCE Mathematics Advanced): Quizzes

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Dilations

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What does a dilation do to a function's graph?

Changes size by stretching or compressing

What is the formula for a horizontal dilation of $y = f(x)$ by factor $k$ ?

$y = f\left(\frac{x}{k}\right)$

When $k > 1$ in $y = f\left(\frac{x}{k}\right)$ , what happens to the graph?

It stretches horizontally (becomes wider)

When $0 < k < 1$ in a horizontal dilation, what happens?

The graph compresses (becomes narrower)

What is the formula for a vertical dilation of $y = f(x)$ by factor $l$ ?

$y = lf(x)$

When $l > 1$ in $y = lf(x)$ , what happens to the graph?

It stretches vertically (becomes taller)

In a horizontal dilation, which coordinates change?

x-coordinates scale, y-coordinates unchanged

From which reference line does a horizontal dilation stretch or compress?

The y-axis

What is the formula for a combined dilation by factor $k$ ?

$y = kf\left(\frac{x}{k}\right)$

Under enlargement by factor 2, where does point $(1,1)$ on $y = x^3$ map to?

$(2, 2)$

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Dilations (HSC SSCE Mathematics Advanced): Quizzes

Practise the questions

What does a dilation do to a function's graph?

What is the formula for a horizontal dilation of y=f(x)y = f(x)y=f(x) by factor kkk?

When k>1k > 1k>1 in y=f(xk)y = f\left(\frac{x}{k}\right)y=f(kx​), what happens to the graph?

When 0<k<10 < k < 10<k<1 in a horizontal dilation, what happens?

What is the formula for a vertical dilation of y=f(x)y = f(x)y=f(x) by factor lll?

When l>1l > 1l>1 in y=lf(x)y = lf(x)y=lf(x), what happens to the graph?

In a horizontal dilation, which coordinates change?

From which reference line does a horizontal dilation stretch or compress?

What is the formula for a combined dilation by factor kkk?

Under enlargement by factor 2, where does point (1,1)(1,1)(1,1) on y=x3y = x^3y=x3 map to?

Explore HSC SSCE Mathematics Advanced Revision Notes by Topics

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Introduction to Functions and Relations

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Trigonometric Identities and Equations

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Introduction to Rates of Change

The Derivative

Exponential Functions

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Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Model Answers by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

Transformations

Advanced Applications of Transformations

Explore HSC SSCE Mathematics Advanced Flashcards by Topics

Algebraic Techniques

Solve Equations

Introduction to Functions and Relations

Linear Functions

Quadratic and Cubic Functions

Function Properties

Functions and Relations

Trigonometry

Trigonometric Identities and Equations

Probability

Data

Introduction to Rates of Change

The Derivative

Exponential Functions

Logarithmic Functions

What is the formula for a horizontal dilation of $y = f(x)$ by factor $k$ ?

When $k > 1$ in $y = f\left(\frac{x}{k}\right)$ , what happens to the graph?

When $0 < k < 1$ in a horizontal dilation, what happens?

What is the formula for a vertical dilation of $y = f(x)$ by factor $l$ ?

When $l > 1$ in $y = lf(x)$ , what happens to the graph?

What is the formula for a combined dilation by factor $k$ ?

Under enlargement by factor 2, where does point $(1,1)$ on $y = x^3$ map to?