Question

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 1

B

Explanation:

A translation of 4 units to the right, means add 4 to the original x- coordinate.

A translation of 3 units down, means subtract 3 from the original y- coordinate

Thus the rule is

(x, y ) → (x + 4, y - 3 ), hence

A(- 3, 4 ) → A'(- 3 + 4, 4 - 3 ) → A'(1, 1 )