1. horizontal shrink by factor of 2/3 means multiply outside the f(x) or outside the x^2 by 2/3:
(2/3)•f(x)
2. translation left 5 units means "x+5" inside:
(2/3) • f(x+5)
3. tranlate down 2 units means "-2" outside:
(2/3) • f(x+5) -2
or (2/3) (x+5)^2 - 2
or