Final Answer:
The two transformations applied are (d) A reflection across the vertical line and (b) A translation to the right.
Step-by-step explanation:
The process of transforming the image on the left to the one on the right involves a sequence of two distinct transformations. Firstly, a reflection across the vertical line is applied. This transformation flips the original image as if it were mirrored along a vertical axis. Consequently, the features on the left side of the image swap places with those on the right side.
Subsequently, a translation to the right is implemented. This involves shifting the entire image horizontally to a new position. The combination of these transformations results in the observed changes from the left image to the right. The reflection imparts a mirror effect, and the subsequent translation displaces the mirrored image to the right.
Understanding these geometric transformations is fundamental in image manipulation and analysis, offering insights into how different operations can alter the appearance of an object or figure. It showcases the importance of recognizing the sequential application of transformations in deciphering changes between two images.