Answer:
[tex]Q^{\prime}(1,-1)[/tex]Step-by-step explanation:
The general rule for a translation by 6 units to the right and 2 units down is:
[tex](x,y)\rightarrow(x+6,y-2)[/tex]This way, we'll have that:
[tex]Q(-5,1)\rightarrow Q^{\prime}(-5+6,1-2)\rightarrow Q^{\prime}(1,-1)[/tex]We can conclude that:
[tex]Q^{\prime}(1,-1)[/tex]