If the parent function is g(x)=x³, the first transformation is a shift to the left of 8, h(x)=(x+8)³.
The next transformation is a flip over the line x=-8, j(x)=-(x+8)³.
The next transformation is a narrowing of the shape, k(x)=-2(x+8)³.
The final transformation is a shift down of 3, f(x)=-2(x+8)³-3.
The parent g(x) is shown in red. h(x) is light blue. j(x) is orange. k(x) is green. f(x) is darker blue.