Chapter 3: Quadratic and Other Nonlinear Functions Exercise 7

Consider the quadratic function, 132918f3_c2d5_45bd_a67b_0b89701f2139_SMCC4506_00 (a) Need to find the vertex of the equation: Recall, A quartic equation 9cf64f23_5de9_4e28_b8e7_cf0180481a9e_SMCC4506_11 is a parabola with its vertex at the point d0833619_b637_4fe3_948e_fe11d54bd9cf_SMCC4506_11 The equation 5309726b_4a86_41cb_bcd1_adc3185a3b61_SMCC4506_11 can be written as, 5e587902_a843_4d1d_bd02_6cc3c469f762_SMCC4506_00 6c95706d_3014_4f9e_a402_fdf28ebcde8f_SMCC4506_00 Common out cec7762d_05d8_4985_b9fc_a3648f23ca77_SMCC4506_11 bb4981e9_22f2_4632_a6ec_f3afbd61d0a0_SMCC4506_00 To perfect square add and subtract 225 e3bacbd7_3a67_4ab7_b786_504310402b48_SMCC4506_00 92738838_1365_414a_8ee7_dd35cc24ef8c_SMCC4506_00 9d5d344e_99e9_419f_b621_0fa4b4157fd1_SMCC4506_00 Simplify Compare the equation b365f141_a1bf_41ed_ba3f_b2e3f0905322_SMCC4506_11 with the equation af877357_a05c_4dbb_a593_30f2ae3bd74e_SMCC4506_11 6ee018bc_e0ee_441d_97bf_f7af8b944bac_SMCC4506_00 Hence the vertex is a057efa0_51be_4704_adbd_2ccb542a447b_SMCC4506_11