In this question, the mirror image of the text "PHYLAXIS" is taken about the x-axis. This means that each letter is flipped upside down while maintaining its left-to-right orientation.
Let's break down the word "PHYLAXIS" and visualize how it will look when mirrored about the x-axis:
- P stays as P
- H stays as H
- Y stays as Y
- L stays as L
- A stays as A
- X stays as X
- I stays as I
- S stays as S
By reflecting about the x-axis, the order of the letters does not change, but the text flips vertically. Therefore, the correct mirror image of the word "PHYLAXIS" about the x-axis is "SIXALYHP."
Thus, the correct answer is option (B).
Final Answer: \(\text{SIXALYHP}\)