Question

Complete the square to re-write the quadratic function in vertex form: y = x ^ 2 - 2x - 8

Answer 1

`y=(x-1)^2-9`

Explanation:

`y=x^2-2x-8`

To complete the square:

`(b)/(2)=(-1)^2=1`

`y=x^2-2x-8`

`+9`
`+9`

`y+9=x^2-2x+1`

`(x-1)^2=y+9`

`-9`
`-9`

`y=(x-1)^2-9`