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AL2006

None of the graphs is traveling at all. They're all just laying there motionless on the paper.

However, graphs G and H both depict the motion of objects that are moving with constant speed.

On both G and H, the graphed lines are horizontal ... they never get any higher or lower on the speed axis.

Your teacher may have a problem with Graph-H. The speed shown on Graph-H is Zero, which is certainly constant.