Answer:
vertex form : y = ( x - 3)^2 - 2
Step-by-step explanation:
y = x^2 - 6x + 7 in vertex form
we will need to complete the square
so focus on x^2 - 6x only
take -6 divide it by 2 and square it to get 9
x^2 - 6x + 9 - 9
so...
y = x^2 - 6x + 9 - 9 + 7
y = ( x - 3)^2 - 9 + 7
y = ( x - 3)^2 - 2
vertex form : y = ( x - 3)^2 - 2