Question

When the transformation T2,-1 is performed on point A, its image is point A (-3, 4). What are the coordinates ofA?

Answer 1

A (-5, 5)

Step-by-step explanation

When the transformation Ta, b is performed on a given coordinate B (x, y), it becomes B' [(x + a). (y + b)]

So, for this question, the transformation is T2, -1, on point A (x, y) to give the image point A' (-3, 4)

A' (-3, 4) = A' [(x + 2), (y - 1)]

x + 2 = -3

x = -3 - 2 = -5

y - 1 = 4

y = 4 + 1 = 5

So, the coordinates of point A is (-5, 5)

Hope this Helps!!!