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Exam-Style Questions on Transformations of Graphs

Problems on Transformations of Graphs adapted from questions set in previous Mathematics exams.

1.

GCSE Higher

The graph of the curve with equation y = \(f(x)\) is shown on the grid below.

First graph

(a) On the grid above, sketch the graph of the curve with equation \(y = f(–x)\)

The red curve with equation \(y = x^2-5x+4\) is transformed by a translation to give the blue curve such that the point (2.5, -2.25) on the red curve is mapped to the point (-2.5, -2.25) on the blue curve.

Other graphs

(b) Find an equation for the blue curve.


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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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