Based on the description of the unknown protist having long lash-like appendages protruding from its cell surface, it is likely that these appendages are flagella. Flagella typically move in a whip-like or undulating motion, allowing the organism to propel itself through its environment.
Therefore, the most suitable response would be:
The appendages of this protist will move back and forth like a wagging tail to actively propel the protist forward.
This describes the typical movement associated with flagella, which is effective for locomotion in many protists.