Question

the coordinate grid below shows triangle abc and its image after translation, triangle abc: which of the following completes the rule for this translation, (x, y) → (x + 8, ___)? y - 8 y - 3 y + 8 y + 3

Explanation:

Step1: Observe vertical movement

Count the number of grid - squares the triangle moves vertically. Point A has coordinates approximately (-6, 10) and A' has coordinates approximately (2, 7).

Step2: Calculate vertical change

The x - coordinate of A changes from - 6 to 2, which is an increase of 8 (2-(-6)=8). The y - coordinate of A changes from 10 to 7, which is a decrease of 3 (7 - 10=-3). So the rule for the translation is (x,y)→(x + 8,y - 3).

Answer:

y - 3