Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 4 units right and 3 units down. Which rule represents the translation? After the translation, what are the coordinates of vertex A?A) (x, y) → ( x + 4, y + 3); (1, 7) B) (x, y) → (x + 4, y − 3); A(1, 1) C) (x, y) → (x − 4, y + 3); (−7, 1) D) (x, y) → (x − 4, y − 3); A(1, −1)

Answer: B) (x, y) → (x + 4, y − 3); A(1, 1)
Step-by-step explanation:Given: Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle translates 4 units right and 3 units down. Now, 4 units right means adding 4 units to x coordinates of the figure, to get the x coordinate of the translated image.Similarly , 3 units down means subtracting 3 units from the y coordinate of the figure, to get the x coordinate of the translated image.Therefore, the translation rule becomes (x, y) → (x + 4, y − 3)⇒A(-3,4)→(-3+4,4-3)=(1,1)