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# Reflections and Translations

ACTMAT-OKT1L4

${\Delta}$ ABC is reflected about the line $x = 2$ to form ${\Delta}$ A'B'C'.

${\Delta}$A'B'C' is then reflected about the line $x = -1$ to form ${\Delta}$ A"B"C". The mapping from ${\Delta}$ ABC to ${\Delta}$ A"B"C" is also obtained by a translation.

If the coordinates of ${\Delta}$ ABC are A$(0,2)$, B$(3,5)$, and C$(6,-1)$, which of the following describes the translation mapping from ${\Delta}$ ABC to ${\Delta}$ A"B"C"?

A

$(x,y) --> (x+6, y)$

B

$(x,y) --> (x-6, y)$

C

$(x,y) --> (x, y+6)$

D

$(x,y) --> (x, y-6)$

E

$(x,y) --> (x-6, y-6)$