Question

triangle rst is translated 6 units to the left and 4 units up to create triangle rst. which rule best describes this transformation? (x,y) to (6x,-4y) (x,y) to (-6x, 4y) (x,y) to (x+6, y-4) (x,y) to (x-6, y+4)

Explanation:

Step1: Recall translation rules

In a coordinate - plane, moving left/right affects the x - coordinate and moving up/down affects the y - coordinate. Moving left means subtracting from the x - coordinate and moving up means adding to the y - coordinate.

Step2: Analyze the given translation

The triangle is translated 6 units to the left and 4 units up. For a point (x,y), moving 6 units to the left changes the x - coordinate to x - 6, and moving 4 units up changes the y - coordinate to y + 4. So the transformation rule is (x,y)→(x - 6,y + 4).

Answer:

(x,y) to (x - 6,y + 4) (the last option in the multiple - choice list)