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Deffense [45]
3 years ago
14

Write y=2x^2-12x+16 in vertex form

Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

y = 2(x - 3)^{2} - 1

Step-by-step explanation:

y = 2x^{2} - 12x + 16  

y = 2(x^{2} - 6x + 8)        ( Factor out 2 )

y + 9= 2(x^{2} - 6x + 9) + 8 ( Complete the square (\frac{-b}{2} )^{2} ) Add 9 both sides  

y + 9 = 2 (x - 3)^{2} + 8      (Subtract 9 each side)  

y = 2 (x - 3) ^{2} - 1         ( simplify )

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Answer:

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Step-by-step explanation:

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