Further Graph Transformations and Modelling

We estimate MA12-GM is worth about 7 marks out of 100 under the new Mathematics Advanced syllabus. Practise 24 exam-style questions (multi-part, multiple choice, algebraic answer, numerical answer) with instant marking and a worked solution for every question.

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Example questions

Example 1 · 1 mark · multiple choice

What is the period of $y = 3 sin (2 x)$ ?

A $3$
B $π$
C $2 π$
D $4 π$

Example 2 · 2 marks · multi-part

The function $f (x) = sin x$ has range $- 1 \leq y \leq 1$ . Find the range of $y = 3 f (x) - 2$ , written as $a \leq y \leq b$ .

Example 3 · 1 mark · multiple choice

How many solutions does $sin (2 x) = \frac{1}{2}$ have for $0 \leq x \leq 2 π$ ?

A $1$
B $2$
C $4$
D $8$

Answers and worked solutions appear when you practise these questions.

Further Graph Transformations and Modelling

Example questions

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