Edexcel IGCSE Math A 3.3.HB transformations of graphs

Practise graph-transformation questions by tracking how a point moves under f(x)+k, f(x+k), f(kx) or related mappings on a grid.

Exam points

Map coordinates under transformations such as y = f(x)+7 or y = f(x+5).
Use y = f(2x) or similar rules to adjust x-coordinates before writing the image point.
Describe the graph transformation using the correct direction, scale factor or shift.

[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.HB Transformations of graphs question 1 — Edexcel IGCSE Math A Higher

On the grid, draw the graph of $y=2 \sin (x+30)^{\circ}$ for $0 \leqslant x \leqslant 360$

Correct graph: must go through
$(60,2),\quad (150,0),\quad (240,-2),\quad (330,0)$
and not through (0,0).

Marking guidance:
- B2 for the correct graph
- If not B2, award B1 for the correct shape through 2 or 3 given points, a clear stretch of scale factor 2, or a clear translation of $\binom{-30}{0}$

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3.3.HB Transformations of graphs question 1