Answer:
(-4, -1)
Step-by-step explanation:
"A translation by 2 units to the left and 5 units down" would be: [tex](x,y)\rightarrow(x-2,y-5)[/tex]
Apply the rule to point P:
[tex](-2,4)\rightarrow(-2-2,4-5)\rightarrow\boxed{(-4,-1)}[/tex]
P' should be be (-4, -1).
Hope this helps.