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16. (03.03 lc) the coordinate grid below shows triangle abc and its ima…

Question

  1. (03.03 lc)

the coordinate grid below shows triangle abc and its image after translation, triangle abc:
which of the following completes the rule for this translation, ((x, y) \to (x + 4, ___))? (5 points)
(y + 4)
(y + 2)
(y - 4)
(y - 2)

Explanation:

Step1: Identify coordinates of point A

Original $A: (-1, -1)$; Image $A': (3, 3)$

Step2: Calculate y-change for point A

$3 - (-1) = 4$

Step3: Verify with point B

Original $B: (-3, -3)$; Image $B': (1, 1)$
$1 - (-3) = 4$

Step4: Verify with point C

Original $C: (2, -2)$; Image $C': (6, 2)$
$2 - (-2) = 4$

Answer:

y + 4