Question

Finding Coordinates of a Translation
Triangle T R S has points (negative 4, 2), (0, 2) and (negative 2, negative 1).

If the triangle shown in the diagram is translated 3 units right and 4 units down, what will be the coordinates of S'?

S’(1,
)

Answer 1

S is (-2, -1). Translating 3 right and 4 down: x -> -2+3 = 1, y -> -1-4 = -5.
So S' = (1, -5).