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CAIE A-Level Mathematics AS 1.2.5 Graph Transformations Questions

Practise translating, reflecting and stretching y = f(x), converting between equations and verbal descriptions and applying combined transformations in the correct order.

Syllabus
2028–2030
Course
Mathematics 9709
Level
AS

Exam points

  • interpret key features of function graphs
  • solve equations using graphical methods
  • apply functions to simple models

CAIE A-Level Mathematics AS 1.2.5 Graph Transformations Questions question 1

[Maximum number: 3]

A curve passes through the point (45,−3)\left(\frac{4}{5},-3\right) and is such that dy dx=−20(5x−3)2\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{-20}{(5 x-3)^{2}} ．

The curve is transformed by a stretch in the x－direction with scale factor 12\frac{1}{2} followed by a translation of (210)\binom{2}{10} ．

Find the equation of the new curve．

Figure for Question CAIE A-Level Mathematics AS 1.2.5 Graph Transformations Questions question 1 — CAIE A-Level Mathematics AS
Figure for Question CAIE A-Level Mathematics AS 1.2.5 Graph Transformations Questions question 1 — CAIE A-Level Mathematics AS
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