The parent function is y=x^2
This is a vertical parabola open upward with vertex at (0,0)
The new function is y=(x-3)^2-1
This is a vertical parabola open upward with vertex at (3,-1)
so
The transformation is a translation
The rule of the translation is
(x,y) ------> (x+3,y-1)
that means
3 units at right and 1 unit down
