Question

For the transformation t, write the t-1. t: (x, y) (x 4, y 3) t -1 (x, y) ( x 3, y 2) ( x - 4, y - 3) ( x ¼, y).

Answer 1

The question asks for the inverse transformation of t: (x, y) → (x + 4, y + 3). The inverse, denoted t-1, is found by doing the opposite action, thus t-1: (x, y) → (x - 4, y - 3).

Step-by-step explanation:

The question is about finding the inverse transformation t-1 for a given transformation t. The transformation t: (x, y) → (x + 4, y + 3) shifts every point in the plane 4 units to the right and 3 units up. To undo this transformation and find t-1, we need to shift every point 4 units to the left and 3 units down. Therefore, the inverse transformation t-1: (x, y) → (x - 4, y - 3). This is because doing the transformation t followed by t-1 will bring any point back to its original position, which is the defining property of inverse functions.