Solution
We will consider each and every statement and the translate what it mean appropriately
Horizontally translate 4 units left
That means
[tex](x-(-4))=x+4[/tex]
The option to choose is
[tex](x+4)^3[/tex]
Vertically translate 2 units down
That basically mean is to subtract 2
That is
[tex]-2[/tex]
Shrunk vertically by one half
That is
[tex]a=\frac{1}{2}[/tex]
The image below shows what to select
