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1-194.

NOT AGAIN!
Theo has done it again. Before he lost his graph, he used it to determine the following properties of his motion. Help him re-create a possible graph of this motion.
DETAILS:

• He changed directions three times during his $8$-foot walk.

• His average velocity was $0$ feet per second.

• Theo walked for $6$ seconds and started $5$ feet from the motion detector.

Clue 1: A change in direction means the slope goes from positive to negative or negative to positive. An $8$-foot walk means that, when you add together all the distances traveled between each high and low point on the graph, the sum is $8$.

Clue 2: An average velocity of $0$ means that Theo should end exactly where he started.

Clue 3: If Theo walked for $6$ seconds, then the domain of the graph is restricted to $0≤x≤6$. If Theo started $5$ feet from the motion detector, then the $y$-intercept is $(0,5)$.