Question

What is the vertex form of `y=x^2-2x+8`?

Answer 1

Vertex form of equation is `y =(x-1)^2 +7`

Explanation:

`y=x^2-2x+8 or y=(x^2-2x+1)-1+8` or

`y=(x-1)^2 +7` Comparing with vertex form of

equation `f(x) = a(x-h)^2+k ; (h,k)` being vertex we find

here `h=1 , k=7, a=1 :.` Vertex is at `(1,7)`

and vertex form of equation is `y =(x-1)^2 +7`

graph{x^2-2x+8 [-35.54, 35.58, -17.78, 17.78]} [Ans]