Four students are trying to find the rule that translates point n(–2, –4) to n prime (2, 4). each student’s reasoning is shown below.

raheem: the rule is (x times (negative 1), y times (negative 1)) because negative 2 times (negative 1) = 2 and negative 4 times (negative 1) = 4.
casey: the rule is (x + 2, y + 4) because the image is (2, 4).
andrew: the rule is (x + 4, y + 0) because the coordinates are opposites.
lo: the rule is (x + 4, y + 8) because negative 2 + 4 = 2 and negative 4 + 8 = 4.

which student is correct?
raheem
casey
andrew
lo

Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

Step-by-step explanation:

i) though Raheem is mathematically correct the question asks for a translation which means that we can only use addition and/or subtraction and not multiplication. So Raheem's answer is therefore incorrect.

ii) Casey's answer is incorrect as applying the rule (x+2, y+4) on the coordinates N(-2, -4) will gives us (0,0) and not N'(2,4)

iii) Andrew's answer is also incorrect as applying the rule (x+4, y+0) on the coordinates N(-2, -4) will gives us (2,-4) and not N'(2,4).

iv) Lo's answer is correct and it is a translation because applying the rule (x+4, y+8) on the coordinates N(-2, -4) will gives us N'(2,4).

step-by-step explanation:

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