Horizontal and Vertical Translations can be applied in either order if they are the only transformations.
#1
On one axis graph y=x2
On the same axis graph y=(x-1)2+2 by applying the two translations
#2
Copy this graph onto an axis call it f(x)
On the same axis graph f(x+1)-1 by applying the two translations
#3
Copy this graph onto an axis call it g(x)
On the same axis graph g(x+3)+2 by applying the two translations