Study Pure Mathematics revision pack for A-Level. Useful for revision, homework, and exam preparation in Zimbabwe.
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This is the A-Level Pure Mathematics revision pack from 2022. It is a free revision pack for revision. Time allowed: 1 hour 30 minutes.
A' LEVEL
PURE MATHEMATICS
2022 FINAL REVISION TEST 1
TIME: 1 hour 30 minutes
75 marks
Answer all questions.
[If a numerical answer cannot be given exactly, and the accuracy required is not specified in the question, then in the case of an angle it should be given correct to the nearest degree, and in other cases it should be given to 2 significant figures.]
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Sharewell B. C
1.
a) The curve whose equation is $y=x^{2}$ undergoes in succession, the following transformations:
A: A translation of magnitude 3 units in the direction of the $x$-axis
B: A scaling parallel the y -axis by a factor of 2
C: A translation of magnitude 5 units in the direction of the $y$-axis
Give the equation of the resulting of the resulting curve
[3]
b) Another curve undergoes, in succession, the transformations $\mathrm{A}, \mathrm{B}, \mathrm{C}$ as above, and the equation of the resulting is $y=\frac{4 x-9}{x-3}$. Determine the equation of the curve before the three transformations were effected, hence sketch the graph of $y=\frac{4 x-9}{x-3}$ and also determine whether its bijective, surjective or injective.
[7]
2. a)
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