I need help with 9, 11, and 12.I would appreciate step-by-step explanations :)

The general equation of the quadratic function is:
[tex]f(x)=a(x-h)^2+k[/tex]Where: the vertex will be = (h, k)
Given for problem 9:
[tex]f(x)=2(x-3)^2+1[/tex]compare to the general form
so, h = 3, k =1
So, the coordinates of the vertex = (3, 1)