Question

What is the vertex form of `y=x^2 - 2x`?

Answer 1

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

Explanation:

The equation of a parabola in `color(blue)"vertex form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=a(x-h)^2+k)color(white)(2/2)|)))`
where (h ,k) are the coordinates of the vertex and a is a constant.

`"Rearrange " y=x^2-2x" into this form"`

`"using the method of "color(blue)"completing the square"`

`y=(x^2-2xcolor(red)(+1))color(red)(-1)`

`rArry=(x-1)^2-1larrcolor(red)" in vertex form"`