A parallelogram with vertices (–4, 1), (1, 3), (2, 0), and (–3, –2) is translated left 3 units, up 5 units.

What are the coordinates of the vertices of the translated parallelogram?

A.
(–1, 6), (4, 8), (5, 5), and (0, 3)

B.
(1, –2), (6, 0), (7, –3), and (2, –5)

C.
(–7, 6), (–2, 5), (–1, 5), and (–6, 3)

D.
(–7, 6), (–2, 8), (–1, 5), and (–6, 3)



Answer :

|Vertices ABCD| (x - 3, y + 5)  |Vertices A'B'C'D'|
|        (-4, 1)       | (-4 - 3, 1 + 5)|         (-7, 6)         |
|         (1, 3)        | (1 - 3, 3 + 5) |         (-2, 8)         |
|         (2, 0)        | (2 - 3, 0 + 5) |         (-1, 5)         |
|        (-3, -2)      |(-3 - 3, -2 + 5)|        (-6, 3)         |

The vertices of (-4, 1), (1, 3), (2, 0), and (-3, -2) is (-7, 6), (-2, 8), (-1, 5), and (-6, 3).
The answer is D.