# Exam-Style Question on Transformations of Graphs

## A mathematics exam-style question with a worked solution that can be revealed gradually

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Question id: 621. This question is similar to one that appeared on a GCSE Higher paper in 2020. The use of a calculator is allowed.

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

(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.

(b) Find an equation for the blue curve.

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