f(x)= -2x^2 +8x -12 in vertex form

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bob214 bob214

02-06-2016
Mathematics

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f(x)= -2x^2 +8x -12 in vertex form

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Panoyin Panoyin · Answer 1 · 2016-06-13T01:25:29+02:00

  f(x) = -2x² + 8x - 12
y = -2x² + 8x - 12
  + 12 + 12
y + 12 = -2x² + 8x
y + 12 - 8 = -2x² + 8x - 8
  y - 4 = -2(x²) - 2(-4x) - 2(4)
  y - 4 = -2(x² - 4x + 4)
  y - 4 = -2(x² - 2x - 2x + 4)
y - 4 = -2[x(x) - x(2) - 2(x) - 2(-2)]
y - 4 = -2[x(x - 2) - 2(x - 2)]
y - 4 = -2(x - 2)(x - 2)
y - 4 = -2(x - 2)²
+ 4 + 4
y = -2(x - 2)² + 4