6
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Question 6 • Mathematics I

Rectangle EFGH is translated according to the rule cap t sub negative 5 comma 9 times open paren x comma y close paren If the coordinates of the pre-image of point cap h are open paren negative 2 comma negative 3 close paren , what are the coordinates of cap h prime ?

Answer
A
open paren negative 7 comma 6 close paren
B
open paren 2 comma 1 close paren
C
open paren 3 comma negative 12 close paren
D
open paren 7 comma negative 8 close paren

Explanation

A translation by the vector (−5, 9) subtracts 5 from the x-coordinate and adds 9 to the y-coordinate. Starting from H = (−2, −3), we get H′ = (−2 − 5, −3 + 9) = (−7, 6), which is choice A.

AI-written and checked against the verified answer.

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