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Question Bank





               Chapter 1  Quadratic Functions and Equations in One Variable

                 1.  Which of the following characteristics of quadratic function is not correct for f(x) = x  + 9?
                                                                                         2
                   A  The graph f(x) = x  + 9 has a minimum point at (0, 9).
                                     2
                   B  f is a many to one function.
                   C  The axis of symmetry for the graph f(x) = x  + 9 is x = 0.
                                                         2
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                                     2
                   D  The graph f(x) = x  + 9 cuts the x-axis at x = ±3.
                 2.  Which of the following graphs is correct about the value of a on the graph of the quadratic function y = ax ?
                                                                                                       2
                   A              y                            C              y
                                                                      y = 4x  2
                                        y = x 2
                                                                                       y = x 2
                                            y = 3x 2


                                               x
                                 O
                                                                                           x
                                                                             O
                   B              y                            D              y
                                        y = x 2                                    y = x  2




                                               x                                           x
                                 O                                           O
                                                                                      y = –5x  2
                                           1
                                           –
                                       y = –   x 2
                                           2
                 3.  The diagram below shows a right-angled triangle.


                                                  (x + 10) cm
                                                                    (x + 5) cm


                                                          25 cm
                   Based on the given information, find the quadratic equation that can be formed.
                                                                    2
                   A  x  + 15x – 250 = 0                       C  2x  + 15x – 500 = 0
                        2
                   B  x  + 30x – 500 = 0                       D  2x  + 15x – 750 = 0
                                                                    2
                        2
                 4.  Which of the following is not a quadratic equation?
                                                                    2
                        2
                   A  p  + 8 = 3p                              C   x  + 3  = 4
                                                                     x
                   B  k =   10 – 3k 2                          D  13 + 9w – 3w  = 0
                                                                             2
                             7
                 5.  Given 4 is a root of the quadratic equation ax  + 14x – 8 = 0, determine the value of a.
                                                        2
                   A  –4                                       C  3
                   B  –3                                       D  4
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