4MA1/1H Jun 2025, Question 21: Transformations of graphs
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks
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The question, in short
y = f(x) has a turning point at (−6, 9): find it for y = f(3x). Then find a and b if y = g(x + a) + b maps (4, −5) to (1, −16).
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1All same: (9×8×7 + 7×6×5 + 4×3×2)/(20×19×18) = 738/6840
- 2All different: 6 × (9×7×4)/(20×19×18) = 1512/6840
- 3Exactly two same = 1 − (738 + 1512)/6840
- 4= 1 − 2250/6840 = 4590/6840
- 5= 51/76
Answer51/76
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