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salantis [7]
3 years ago
6

Using the completing-the-square method, rewrite f(x) = x2 + 4x − 1 in vertex form.

Mathematics
1 answer:
joja [24]3 years ago
6 0
        f(x) = x² + 4x - 1
            y = x² + 4x - 1
      y + 1 = x² + 4x - 1 + 1
      y + 1 = x² + 4x
y + 1 + 4 = x² + 4x + 4
      y + 5 = x² + 2x + 2x + 4
      y + 5 = x(x) + x(2) + 2(x) + 2(2)
      y + 5 = x(x + 2) + 2(x + 2)
      y + 5 = (x + 2)(x + 2)
      y + 5 = (x + 2)²
 y + 5 - 5 = (x + 2)² - 5
            y = (x + 2)² - 5
        f(x) = (x + 2)² - 5
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