Answer :

[tex]y=2x^2+8x+5\\ y=2(x^2+4x+\frac{5}{2})\\ y=2(x^2+4x+4-\frac{3}{2})\\ y=2((x+2)^2-\frac{3}{2})\\ y=2(x+2)^2-3[/tex]

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