C3 January 2006 Q1

EdexcelOld spec7 marksFunctions (including |mod|)Sketching & Transforming Graphs

1.

Figure 1: graph of y = f(x) for -5 to 5, with a minimum for negative x, a maximum at M(2, 4), crossing the positive x-axis before x = 5
Figure 1

Figure 1 shows the graph of \(y = \mathrm{f}(x)\), \(-5 \leqslant x \leqslant 5\).
The point \(M\ (2, 4)\) is the maximum turning point of the graph.

Sketch, on separate diagrams, the graphs of

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

Show on each graph the coordinates of any maximum turning points.

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