C3 June 2011 Q3

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

3.

Figure 1: graph of y = f(x), two line segments meeting at R(4, −3) below the x-axis
Figure 1

Figure 1 shows part of the graph of \(y = \mathrm{f}(x),\ x \in \mathbb{R}\).

The graph consists of two line segments that meet at the point \(R(4, -3)\), as shown in Figure 1.

Sketch, on separate diagrams, the graphs of

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

On each diagram, show the coordinates of the point corresponding to \(R\).

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