Answer:
Option D is correct
Lo student was correct
Step-by-step explanation:
Translation of any point is defined as:

where, a and b are real numbers.
Four students are trying to find the rule that translates point N (-2,-4) to N’(2,4).
Using the definition:

⇒
On comparing both sides we have;
-2+a = 2
Add 2 to both sides we have;
a = 4
Similarly,
-4+b = 4
Add 4 to both sides we have;
b = 8
⇒ the rule that translates point N (-2,-4) to N’(2,4) is, 
Therefore, from the given students Lo was correct i.e,
Lo: the rule is (x+4, y+8) because -2+4=2 and -4+8=4