Given data:
The given equation is y = 2x^2+8x+10 .
The givenn equation can be written in vertex form as,
[tex]\begin{gathered} y=2x^2+8x+10 \\ =2(x^2+4x)+10 \\ =2(x^2+4x+4-4)+10 \\ =2(x+2)^2+2 \end{gathered}[/tex]
Thus, the given equation can be written as, 2(x+2)^2 +2, so third option is correct.
