Question

How do you turn a standard form to vertex form `y=x^2-2x+1`?

Answer 1

`(x-1)^2`

Explanation:

`x^2-2x+1=x^2-2x+1^2`
so`x^2-2x+1=(x-1)^2` `0*2=0`
`(x-1)` must be equal to `0`
so `x= 1`

Answer 2

complete the square

`(x-1)^2+1-1`

`(x-1)^2`

Vertex (1,0)