4MA1/2HR Jun 2022, Question 16: Recognising and Sketching Graph Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
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The question, in short
Match each of four given equations to one of nine sketched graphs labelled A to I, writing the chosen letter for each equation.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Identify the graph of y = −2x + 3: this is a straight line with negative gradient and positive y-intercept, which matches Graph C.
- 2Identify the graph of y = −1/x: this is a reciprocal graph in the second and fourth quadrants, which matches Graph F.
- 3Identify the graph of y = tan x°: this is the tangent function with vertical asymptotes and periodic behaviour, which matches Graph D.
- 4Identify the graph of y = (x + 1)(x − 1)(x − 2): this is a cubic polynomial with roots at x = −1, x = 1, and x = 2, which matches Graph H.
- 5C, F, D, H
AnswerC, F, D, H
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