Question

Finding Coordinates of a Translation
Triangle XYZ has coordinates X(2, 4), Y(−3, 4), and Z(−3, 1). If the triangle is translated using the rule (x, y) → (x − 2, y + 1), what are the coordinates of Y'?

Y'(–5, 5)
Y'(0, 5)
Y'(–5, 2)
Y'(–1, 3)

Answer 1

Y is at (−3, 4). Applying (x, y) → (x − 2, y + 1) gives x' = −3 − 2 = −5 and y' = 4 + 1 = 5. So Y' = (−5, 5).