Question

3. Write y = x2 - 4x + 6 in vertex form.

A. y = (x - 2)2 + 2

B. y = (x + 2)2 - 2

C. y = (x + 2)2 - 4

D. y = (x - 2)2 + 4

Answer 1

A.

`y = (x - 2 {)}^(2) + 2`

Explanation:

`y = {x}^(2) - 4x + 6`

`= y + 4 = {x}^(2) - 4x + 4 + 6`

`= y + 4 = (x - 2 {)}^(2) + 6`

`= y = (x - 2 {)}^(2) + 6 - 4`

`= y = (x - 2 {)}^(2) + 2`