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

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Keegan

Mathematics

30 September, 10:50

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

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Scarlet · Answer 1

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