Question

after translating a shape 2 units left and 3 units up, its new position is described by:
a. $(x - 3,y + 2)$
b. $(x + 3,y - 2)$
c. $(x + 2,y - 3)$
d. $(x - 2,y + 3)$

Explanation:

Step1: Recall translation rules

Moving left affects x - coordinate. Moving 2 units left means subtract 2 from x - coordinate (x becomes x - 2).

Step2: Recall vertical - movement rule

Moving up affects y - coordinate. Moving 3 units up means add 3 to y - coordinate (y becomes y + 3).

Answer:

d. $(x - 2,y + 3)$