Write the quadratic equation y = x^2 - 6x + 7 in vertex form

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