Question

What is the axis of symmetry and vertex for the graph `y = x^2 - 6x + 4`?

Answer 1

Vertex is at `(3, -5 )` , axis of symmetry is `x = 3`

Explanation:

`y = x^2 -6x + 4 or y = x^2 -6x +9 - 9+ 4` or

`y = (x-3)^2 -5`, comparing with vertex form of equation ,

`y = a(x-h)^2 + k ; (h,k)` being vertex , we find here vertex at

`h=3 , k= -5 or (3,-5)`

Axis of symmetry is `x =3`

graph{x^2-6x+4 [-10, 10, -5, 5]} [Ans]