Question

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

Answer 1

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 )