Answer:
y = 2[tex](x - 3)^{2}[/tex] - 1
Step-by-step explanation:
y = 2[tex]x^{2}[/tex] - 12x + 16
y = 2([tex]x^{2}[/tex] - 6x + 8) ( Factor out 2 )
y + 9= 2([tex]x^{2}[/tex] - 6x + 9) + 8 ( Complete the square [tex](\frac{-b}{2} )^{2}[/tex] ) Add 9 both sides
y + 9 = 2 [tex](x - 3)^{2}[/tex] + 8 (Subtract 9 each side)
y = 2 [tex](x - 3) ^{2}[/tex] - 1 ( simplify )
