Question

I need help.....
1. A triangle has vertices at A(−7, 6), B(4, 9), C(−2, − 3). What are the coordinates of each vertex if the triangle is translated 4 units right and 6 units down?
1. A′(−3, 12), B′(8, 15), C ′(2, 3)
2. A′(−11, 0), B′(0, 3), C ′(−6, − 9)
3. A′(−3, 0), B′(8, 3), C ′(2, − 9)
4. A′(−11, 12), B′(0, 15), C ′(−6, 3)

Answer 1

The answer is C. Translating 4 units right would make you "add" 4 units to your x and translating 6 units down would make you "subtract" 6 units to your y. 
A(-7,6) so adding 4 to the x would give you -3, and subtracting 6 to the y would give you 0. -> (-3,0)
B(4,9), add 4 to the x would give you 8, subtract 6 would give you 3. -> (8,3)
C(-2,-3), add 4 to the x would give you 2, subtract 6 would give -9. -> (2,-9)