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A-Level MathematicsYear 2022Q1

2   1. The point P (−2, −5) lies on the curve with equation y = f (x), x ∈  Find the point to which P is mapped, when the curve with equation y = f (x) is transformed to the curve with equation (a) y = f (x) + 2 (1) (b) y = | f (x) | (1) (c) y = 3f (x − 2) + 2 (2) ___________________________________________ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 3   Question 1 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ (Total for Question 1 is 4 marks) 4   2. f (x) = (x − 4)(x2 − 3x + k) − 42 where k is a constant Given that (x + 2) is a factor of f (x) , find the value of k. (3) _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Turn over 5   Question 2 continued _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ___________________________________________ (Total for Question 2 is 3 marks)

Paper Source:9ma0-01-que-20220608.pdf

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Exam Specification Info

This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.

Syllabus levelAdvanced Level (A-Level)

SubjectMathematics

Official MarksVariable (2–6 marks)