Singapore GCE A-Level · H2 Mathematics

Graphs and transformations

18 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 18 questions

The graph of $y = f (x)$ is translated by the vector $(23)$ . Find the equation of the new graph.
The graph of $y = f (x)$ is translated by the vector $(- 1 4)$ . Find the equation of the new graph.
The graph of $y = f (x)$ is translated by the vector $(3 - 2)$ . Find the equation of the new graph.
The graph of $y = f (x)$ is translated by the vector $(- 3 - 1)$ . Find the equation of the new graph.
The graph of $y = f (x)$ is translated by the vector $(15)$ . Find the equation of the new graph.
The graph of $y = f (x)$ is stretched parallel to the $x$ -axis with scale factor $2$ . Find the equation of the new graph.
The graph of $y = f (x)$ is stretched parallel to the $x$ -axis with scale factor $3$ . Find the equation of the new graph.
The graph of $y = f (x)$ is stretched parallel to the $x$ -axis with scale factor $4$ . Find the equation of the new graph.
The graph of $y = f (x)$ is stretched parallel to the $x$ -axis with scale factor $5$ . Find the equation of the new graph.
Write down the equations of the asymptotes of $y = \frac{2 x + 1}{x - 3}$ .
Write down the equations of the asymptotes of $y = \frac{3 x + 2}{x - 1}$ .
Write down the equations of the asymptotes of $y = \frac{1 x + 4}{x - 5}$ .
Write down the equations of the asymptotes of $y = \frac{4 x + 1}{x - 2}$ .
Write down the equations of the asymptotes of $y = \frac{5 x + 3}{x - 1}$ .
Write down the equations of the asymptotes of $y = \frac{2 x + 5}{x - 4}$ .
The graph of $y = f (x)$ is reflected in the $x$ -axis and then stretched parallel to the $y$ -axis with scale factor $2$ . Find the equation of the new graph.
The graph of $y = f (x)$ is reflected in the $x$ -axis and then stretched parallel to the $y$ -axis with scale factor $3$ . Find the equation of the new graph.
The graph of $y = f (x)$ is reflected in the $x$ -axis and then stretched parallel to the $y$ -axis with scale factor $4$ . Find the equation of the new graph.

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Graphs and transformations

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