Question

3
the translation above shows an object moving __________.
a. 6 units to the left and 6 units down
b. 7 units to the left and 7 units down
c. 7 units to the right and 7 units up
d. 6 units to the right and 6 units up

Explanation:

Step1: Pick a reference point

Take the top vertex of the original shape (right grid): approx. (3,5).

Step2: Find its image

The corresponding vertex in the translated shape (left grid): approx. (-3,-1).

Step3: Calculate translation

Horizontal change: $-3 - 3 = -6$ (6 left). Vertical change: $-1 - 5 = -6$ (6 down).

Step4: Confirm direction

Negative x = left, negative y = down. So 6 left and 6 down.

Answer:

A. 6 units to the left and 6 units down