?? - 2014 q4
4.
Figure 1 shows part of the graph with equation
The graph consists of two line segments that meet at the point Q(6, –1). The graph crosses the y-axis at the point P(0, 11).
Sketch, on separate diagrams, the graphs of
(a) y = |f (x)| (2)
(b) y = 2f (– x) + 3 (3)
On each diagram, show the coordinates of the points corresponding to P and Q.
Given that f (x) = a| x – b| – 1, where a and b are constants,
(c) state the value of a and the value of b. (2)
Sketch, on separate diagrams, the graphs of
(a) y = |f (x)| (2)
(b) y = 2f (– x) + 3 (3)
On each diagram, show the coordinates of the points corresponding to P and Q.
Given that f (x) = a| x – b| – 1, where a and b are constants,
(c) state the value of a and the value of b. (2)