Edexcel IGCSE Math A 3.3.HC analyse graph transformations

Practise transformed-function questions by comparing key points, roots or trigonometric features before writing the changed function rule.

Exam points

Use roots or key points to find the horizontal shift in a transformed graph.
Find parameters in trigonometric graphs such as y = p cos(x+q) from the grid.
Write the transformed function equation after analysing the movement of the graph.

[Maximum number: 2]

The graph of $y=\sin x^{\circ}$ for $0 \leqslant x \leqslant 360$ is drawn on the grid.

Figure for Question 3.3.HC Analysing transformations of functions question 1 — Edexcel IGCSE Math A Higher

Hence, describe fully the single transformation that maps the curve with equation $y=x^{2}$ onto the curve with equation $y=x^{2}-6 x+10$

Translation by:
$\begin{pmatrix} 3\\ 1 \end{pmatrix}$

Marking guidance:
- B1 for translation
- B1 for $\begin{pmatrix}3\\1\end{pmatrix}$ , ft from part (b)(i); must be a column vector

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3.3.HC Analysing transformations of functions question 1