Which statements are true about triangle abc and its translated image, a'b'c'? check all that apply.
the rule for the translation can be written as t–5, 3(x, y).
the rule for the translation can be written as t3, –5(x, y).
the rule for the translation can be written as
(x, y) → (x + 3, y – 3).
the rule for the translation can be written as
(x, y) → (x – 3, y – 3).
triangle abc has been translated 3 units to the right and 5 units down.

from the diagram above you see two triangles δabc and δa'b'c' with vertices a(-1,3), b(-1,1), c(3,1) and a'(2,-2), b'(2,-4), c'(6,-4).

since )=3, 6=3=3 and -2--3=-5,-4-1=-5, the rule of transformation is

(x,y)→(x+3,y-5).

this rule perpesents translation 3 units to the right and 5 units down (option 5). translation 3 units to the right and 5 units down can be written as

thus, correct options are 5 and 2.

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14

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