Question

What is the vertex of `y= (x-2)^2-2x-6`?

Answer 1

Vertex is at `(3,-11)`

Explanation:

`y= (x-2)^2-2 x-6 or y= x^2-4 x +4-2 x-6` or

`y= x^2-6 x -2 or y= (x^2-6 x +9)-9 -2` or

`y= (x-3)^2-11` . Comparing with vertex form of

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

here `h=3 , k=-11 :.` Vertex is at `(3,-11)`

graph{(x-2)^2-2 x-6 [-40, 40, -20, 20]} [Ans]