4MA1/2H Jan 2020, Question 15: Recognising and Sketching Graph Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Match three given equations to the correct sketch graph among six labelled graphs A to F, writing each letter in the table.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1y = 2^(2x) is an exponential curve: it stays above the x-axis and climbs steeply as x increases, so it is Graph C.
- 2y = −(1/2)x³ is a cubic with a negative coefficient: it comes down from the top left, passes through the origin, and continues to the bottom right, so it is Graph B.
- 3y = −5/x is a reciprocal curve: two separate branches, one in the second quadrant and one in the fourth, with the axes as asymptotes, so it is Graph E.
- 4The letters are C, B, E.
AnswerC, B, E
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