Question

what is the rule for this translation? (x, y) --> (x-3, y+6) (x, y) --> (x+6, y-3) (x, y) --> (x+2, y+6) (x, y) --> (x+6, y+3)

Explanation:

Step1: Observe x - coordinate change

Pick a point on the original triangle. Notice how its x - coordinate moves to the right by 6 units. In translation rules, a right - ward movement in the x - direction is represented by adding a positive number to the x - coordinate of the original point (x,y). So the change in the x - coordinate is \(x
ightarrow x + 6\).

Step2: Observe y - coordinate change

Pick the same point on the original triangle. Notice how its y - coordinate moves down by 3 units. A downward movement in the y - direction is represented by subtracting a positive number from the y - coordinate of the original point (x,y). So the change in the y - coordinate is \(y
ightarrow y-3\).

Answer:

\((x,y)
ightarrow(x + 6,y - 3)\)