Graphing Techniques

MA-F2 is worth about 6 marks out of 100 in recent HSC Mathematics Advanced papers. Practise 21 exam-style questions (multiple choice, multi-part, algebraic answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

The graph of $y = f (x)$ is translated 3 units to the right and 2 units up. What is the equation of the new graph?

A $y = f (x - 3) + 2$
B $y = f (x - 3) - 2$
C $y = f (x + 2) - 3$
D $y = f (x + 3) + 2$

Example 2 · 1 mark · multiple choice

How is the graph of $y = f (2 x)$ obtained from the graph of $y = f (x)$ ?

AA translation 2 units left
BA horizontal dilation by a factor of 2
CA vertical dilation by a factor of 2
DA horizontal dilation by a factor of $\frac{1}{2}$

Example 3 · 1 mark · multiple choice

The point $(2, - 4)$ lies on $y = f (x)$ . Which point must lie on $y = f (2 x) + 1$ ?

A $(4, - 3)$
B $(1, - 3)$
C $(4, - 7)$
D $(1, - 8)$

Answers and worked solutions appear when you practise these questions.

Graphing Techniques

Example questions

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