To solve the problem of determining the resulting image after the specified transformations—flipping horizontally about the Y-axis and then rotating 180 degrees—we break it down into two steps:
Step 1: Horizontal Flip
When we flip the image horizontally over the Y-axis, the left side of the image becomes the right side and vice versa, essentially mirroring the image.
Step 2: Rotate 180 Degrees
After flipping, we rotate the image 180 degrees. This rotation implies that the top becomes the bottom and the bottom becomes the top, inverting the image vertically.
Analyzing these transformations jointly, we can identify the change in orientation and position of elements in the original image and compare it to the given options.