C3 January 2009 Q3

EdexcelOld spec6 marksFunctions (including |mod|)Sketching & Transforming Graphs

3.

Figure 1: curve y = f(x) for 1 < x < 9, rising steeply from below the x-axis to a maximum T(3, 5), down to a minimum S(7, 2), then rising
Figure 1

Figure 1 shows the graph of \(y = \mathrm{f}(x)\),   \(1 < x < 9\).
The points \(T(3, 5)\) and \(S(7, 2)\) are turning points on the graph.

Sketch, on separate diagrams, the graphs of

(a) \(y = 2\mathrm{f}(x) - 4\), (3)
(b) \(y = |\mathrm{f}(x)|\). (3)

Indicate on each diagram the coordinates of any turning points on your sketch.

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