Last updated on Sep 21, 2026

Translations (AQA A-Level Mathematics): Quizzes

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Translations

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What direction does $f(x - 5)$ shift the graph of $f(x)$ ?

5 units to the right

What direction does $f(x + 3)$ shift the graph of $f(x)$ ?

3 units to the left

What is the transformation of $f(x) + 7$ ?

Shifts graph up 7 units

How does $f(x) - 4$ transform the graph of $f(x)$ ?

Shifts graph down 4 units

What does the vector $\begin{pmatrix} 3 \\ -2 \end{pmatrix}$ represent?

3 units right, 2 units down

If $y = f(x)$ is translated by $\begin{pmatrix} 3 \\ -2 \end{pmatrix}$ , what is the new equation?

$y = f(x - 3) - 2$

In a horizontal translation, which values change?

The $x$ -values change

Describe the transformation from $|x|$ to $|x + 2| - 3$ .

2 units left, 3 units down

Where does point $(5, 1)$ move with vector $\begin{pmatrix} -2 \\ 3 \end{pmatrix}$ ?

$(3, 4)$

How is $(x - 2)^2$ related to $x^2$ ?

Shifted 2 units right

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Explore AQA A-Level Mathematics Model Answers by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore AQA A-Level Mathematics Flashcards by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Explore AQA A-Level Mathematics Exam Questions by Topics

Laws of Indices & Surds

Quadratics

Simultaneous Equations

Inequalities

Polynomials

Rational Expressions

Graphs of Functions

Functions

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

Show more

Transformations of Functions

Combinations of Transformations

Partial Fractions

Modelling with Functions

Further Modelling with Functions

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