Question

identify the following composition transformation mapping: ((x, y) \to (-x, -y + 5)). option #1: rotate 180 degrees, then down 5 option #2: reflect across the x-axis, then up 5 option #3: reflect across the y-axis, then up 5 option #4: rotate 180 degrees, then up 5 (1 point) the correct response is option # (square).

Explanation:

The transformation (x,y)→(-x,-y+5) involves two steps. Rotating 180 degrees transforms (x,y) to (-x,-y). Translating up 5 units adds 5 to the y-coordinate, resulting in (-x,-y+5), matching the given mapping.

Answer:

Option #4: rotate 180 degrees, then up 5