Question

ansformed. write translation, r
2)

Explanation:

To determine the transformation, we analyze the vertical and horizontal shifts of a key point (e.g., \( A(2,1) \) to \( A'(2,-1) \), \( E(3,2) \) to \( E'(3,-2) \), \( G(1,5) \) to \( G'(1,-5) \)).

Step 1: Vertical Shift

The y - coordinate of each point changes from \( y \) to \( -y \) (e.g., \( 1 \to -1 \), \( 2 \to -2 \), \( 5 \to -5 \)). This indicates a reflection over the \( x \) - axis.

Step 2: Check for Translation (Optional)

There is no horizontal shift (x - coordinates remain the same: \( 2\to2 \), \( 3\to3 \), \( 1\to1 \)). So the main transformation is a reflection over the \( x \) - axis.

Answer:

The transformation is a reflection over the \( x \) - axis (followed by no horizontal/vertical translation, as x - coordinates are unchanged). If considering the vertical flip (reflection) and the drop, the primary transformation is reflection over the \( x \) - axis.