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                    16.  The function f is defined by f(x) = 4 x −  1 2 2  − 5 for x  R.
                                                               2
                       (a) Find the range of f.








                                                                                                             [1]

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                       (b)  State the coordinates of the turning point of the curves
                           (i)  y = f(x).





 = – 1
 2

                                                                                                             [1]
                           (ii)  y = |f(x)|.








                                                                                                             [1]



                    17.  (a)  Show that x  + 4x + 9 can be written in the form of (x + a)  + b and determine the values
                                      2
                                                                                   2
                           of a and b.








                                                                                                             [2]
                       (b)  Sketch the graph of y = x  + 4x + 9 and give the equation of its axis of symmetry.
                                                   2
                                                                   y


















                                                                         x

                                                                                                             [3]


                      Cambridge IGCSE
                                       TM
                  8     Ace Your Additional Mathematics






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