Find the vertices and foci of the ellipse given by
x^2+9y^2-24x+18y+9=0
x^2-24x+9(y^2+2y)=-9
x^2-24x+144+9(y^2+2y+1)=-9+144+9
(x-12)^2+9(y+1)^2=144
(x-12)^2/144+(y+1)^2/16=1