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

User Sowen
by
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1 Answer

15 votes
15 votes

Answer:

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

Explanation:

y = 2
x^(2) - 12x + 16

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

y + 9= 2(
x^(2) - 6x + 9) + 8 ( Complete the square
((-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 )

User Newd
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2.4k points