Answer:
Although the graph was missing, I managed to find it on another source. According to the given conditions, correct answer is <u><em>option C</em></u><u>. A dog stop at his home for 5 seconds</u>.
Reason:
In the graph, The dog was west of his home then he came back, he stopped at his home then runs to other direction (East).
When the dog was running from west to home, his running speed or velocity was 1 m/s which was then decreased to 0 m/s after reaching home. Here (at home) the dog stopped for a while (5 seconds according to the graph), and his velocity was 0 m/s. Then, he started running again to other East direction with velocity -2 m/s (opposite direction).
<em>See attached images for further description.</em>