Respuesta :

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