Question

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

Answer 1

vertex form : y = ( x - 3)^2 - 2

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