A sergeant received an order to relocate the squad from its current location T (3, -2) on the coordinate plane to a new location S. The movement of the squad is described by the translation (x, y) ⟶ (x-4, y+6). What are the coordinates of the new location S of the squad?
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Given : current location T (3, -2) on the coordinate plane relocated to a new location S.
The movement of the squad is described by the translation (x, y) ⟶ (x-4, y+6)
To Find : coordinates of the new location S
Solution:
(x, y) ⟶ (x-4, y+6)
T (x, y) ⟶ S (X, Y)
X = x - 4
Y = y + 6
current location T (3, -2)
x = 3
y = - 2
X = x - 4 => X = 3 - 4 = - 1
Y = y + 6 => Y = -2 + 6 = 4
( - 1 , 4)
the coordinates of the new location S of the squad = ( - 1 , 4)
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