shargrett
shargrett shargrett
  • 13-06-2016
  • Mathematics
contestada

Using the completing-the-square method, rewrite f(x) = x2 − 8x + 3 in vertex form.

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Panoyin
Panoyin Panoyin
  • 13-06-2016
          f(x) = x² - 8x + 3
             y = x² - 8x + 3
           - 3                - 3
        y - 3 = x² - 8x + 16
y - 3 + 16 = x² - 8x + 16
     y + 13 = x² - 8x + 16
     y + 13 = (x - 4)²
         - 13      - 13
             y = (x - 4)² - 13
          f(x) = (x - 4)² - 13
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