y=2x squared -8x+7 what is this equation in vertex form?

y = 2x^2 - 8x + 7

= 2[x^2 - 4x + 4 - 4] + 7
= 2[(x-2)^2 - 4] + 7
= 2(x-2)^2 - 8 + 7
= 2(x-2)^2 - 1