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There are Bezier handles not only in the graph editor but on the position keyframes in the comp window. When you adjust them properly, your bouncing problem will disappear.
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Set spatial interpolation for that keyframe to Linear. You can do it in the comp window using the convert Vertex tool on the motion path or you can select the keyframe and set the interpolation by context clicking on the property.
This was the issue.
I did a little digging around on keyframe interpolation in the After Effects help, and here's what I found:
"In some cases, the Auto Bezier spatial interpolation for Position keyframes can cause undesired back-and-forth (boomerang) motion between two keyframes with equal values. In such a case, you can change the earlier keyframe to use Hold interpolation or change both keyframes to use Linear interpolation."
Once I changed the last two keyframes' Spatial Interpolation to Linear, problem solved. Thanks Rick!