Take a look at the passage again:
Farah woke Kirby, the family's ancient German shepherd.
To see if he had fallen asleep on the remote control. The growl that Kirby
rumbled in protest convinced Farah to use the channel buttons on the front
of the television instead.
You chose the first part, Farah woke Kirby, the family's ancient German shepherd. This part has a main clause: Farah is the subject; woke is the verb. A fragment will not have a main clause.
Go back to the passage to try again.