Answer:
Option D is correct
Lo student was correct
Step-by-step explanation:
Translation of any point is defined as:
[tex](x, y) \rightarrow (x+a, y+b)[/tex]
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:
[tex]N(-2, -4) \rightarrow N'(-2+a, -4+b)[/tex]
⇒[tex](-2+a, -4+b) = (2, 4)[/tex]
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, [tex](x+4, y+8)[/tex]
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
