8
QuizMultiple Choice

Translations — Quiz

Question 8 • Mathematics I

Triangle ABC is translated according to the rule open paren x comma y close paren rightarrow open paren x plus 2 comma y minus 8 close paren If the coordinates of the pre-image of point cap b are open paren 4 comma negative 5 close paren , what are the coordinates of cap b prime ?

Answer
A
open paren negative 3 comma negative 4 close paren
B
open paren 1 comma negative 9 close paren
C
open paren 6 comma negative 13 close paren
D
open paren 2 comma 3 close paren

Explanation

The translation rule adds 2 to the x-coordinate and subtracts 8 from the y-coordinate. Starting from B(4, −5), we get B′ = (4 + 2, −5 − 8) = (6, −13). Therefore, the correct choice is (6, −13).

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