Note that you can rewrite the equation as
[tex]y=x^2-6x+9 = (x-3)^2[/tex]
This means that, starting from the parent function [tex]y=x^2[/tex], we have translated the graph 3 units to the right.
The parent function has vertex in the origin [tex](0,0)[/tex], so your parabola has vertex [tex](3,0)[/tex], i.e. on the x axis.
