Question

(x,y) --> (x type your answer..., y type your answer...)

Explanation:

Step1: Find coordinates of original and transformed points

Let's take point \( R \) and \( R' \). Coordinates of \( R \): \( (1, -3) \), coordinates of \( R' \): \( (-5, 1) \).

Step2: Calculate change in x and y

Change in \( x \): \( -5 - 1 = -6 \). Change in \( y \): \( 1 - (-3) = 4 \). Let's verify with another point, say \( S(4, -2) \) and \( S'(-2, 2) \). Change in \( x \): \( -2 - 4 = -6 \), change in \( y \): \( 2 - (-2) = 4 \). Same for \( T(3, -5) \) and \( T'(-3, -1) \): \( -3 - 3 = -6 \), \( -1 - (-5) = 4 \). So the transformation is \( (x, y) \to (x - 6, y + 4) \).

Answer:

\( x - 6 \), \( y + 4 \)