Answer:
B. (x +3, y +1)
Step-by-step explanation:
You want the translation that moves ∆A'B'C' to ∆DEF.
Translation
The dilated, reflected triangle is shown in light blue in the given figure. The upper right corner of that triangle (A', the right-angle vertex) is translated to point D to complete the transformation.
Point D is 3 units right and 1 unit up from A', so the translation transformation is ...
(x +3, y +1)
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Additional comment
The x-coordinate tells the number of units a point is to the right of the y-axis. Increasing x by 3 units moves the point 3 units to the right.
Similarly, increasing y by 1 unit moves a point 1 unit up.
