Answer:
A.
[tex]y = (x - 2 {)}^{2} + 2[/tex]
Step-by-step explanation:
[tex]y = {x}^{2} - 4x + 6[/tex]
[tex] = y + 4 = {x}^{2} - 4x + 4 + 6[/tex]
[tex] = y + 4 = (x - 2 {)}^{2} + 6[/tex]
[tex] = y = (x - 2 {)}^{2} + 6 - 4[/tex]
[tex] = y = (x - 2 {)}^{2} + 2[/tex]