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How to answer A level exam questions on the Transformation of Graphs?

Graph Transformations : C1 Edexcel June 2012 Q10

Figure 1 shows a sketch of the curve C with equation y = f(x) where

f(x) = x

There is a minimum at the origin, a maximum at the point (3, 27) and C cuts the x-axis at the point A.

(a) Write down the coordinates of the point A.

(b) On separate diagrams sketch the curve with equation

(i) y = f(x + 3)

(ii) y = f(3x)

On each sketch you should indicate clearly the coordinates of the maximum point and any points where the curves cross or meet the coordinate axes.

The curve with equation y = f(x) + k, where k is a constant, has a maximum point at (3, 10).

(c) Write down the value of k

Worked solution to this question on transformations of graphs.

Worked solution to this question on transformations of graphs

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