Question

What are the coordinates of the vertex of y = x^2-2x-7?

Answer 1

vertex: `(1,-8)`

Explanation:

Converting `y=x^2-2x-7`
into vertex form: `y=m(x-a)^2+b` (with vertex at `(a,b)`)

Complete the square
`y=x^2-2xcolor(red)(+1) - 7 color(red)(-1)`

`y=(x-1)^2+(-8)`
with the vertex at `(1,-8)`