C3 January 2008 Q4

EdexcelOld spec10 marksFunctions (including |mod|)Sketching & Transforming Graphs

4.

Figure 1: curve y = f(x) through B(-5, -4), the origin O (where it is flat) and the maximum A(5, 4), then down to the x-axis
Figure 1

Figure 1 shows a sketch of the curve with equation \(y = \mathrm{f}(x)\).
The curve passes through the origin \(O\) and the points \(A(5, 4)\) and \(B(-5, -4)\).

In separate diagrams, sketch the graph with equation

(a) \(y = |\mathrm{f}(x)|\), (3)
(b) \(y = \mathrm{f}(|x|)\), (3)
(c) \(y = 2\mathrm{f}(x + 1)\). (4)

On each sketch, show the coordinates of the points corresponding to \(A\) and \(B\).

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