5
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Question 5 • Mathematics I

Hexagon DEFGHI is translated 8 units down and 3 units to the right. If the coordinates of the pre-image of point cap f are open paren negative 9 comma 2 close paren , what are the coordinates of cap f prime ?

Answer
A
open paren negative 17 comma 5 close paren
B
open paren negative 12 comma negative 6 close paren
C
open paren negative 17 comma negative 1 close paren
D
open paren negative 6 comma negative 6 close paren

Explanation

A translation 3 units to the right adds 3 to the x-coordinate, and 8 units down subtracts 8 from the y-coordinate. Starting from F at (−9, 2), we get F′ = (−9 + 3, 2 − 8) = (−6, −6). This matches choice D, (−6, −6).

AI-written and checked against the verified answer.

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