Camera Shake in Sony vegas
This tutorial will explain how to make the screen shake when a bullet is being fired, but you can add this shake whenever you want, like during a melee attack,vehicle crash or explosion.
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Source Video
Open Vegas
Put your video on the timeline and right click it, Select Pan/Crop

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Click position(1) and add a keyframe(3) before and after the part you want to shake(2)

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Now add keyframe's in between the 2 keyframe's your just made(1), its best to make a keyframe every 3-4 frames.

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Click on each keyframe separately and manipulate the picture(1) Be sure to make it zoom in a bit by dragging the edges in(2) if you do not zoom in while shaking black edges will show up around the video making it look weird. Just move the picture a bit to the left in one keyframe then a bit to the right in the next keyframe, or upright then up left. DO NOT edit the first 2 keyframe's I told you to make(the ones at the beginning and end of the shot, leave those be)

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You don't have to do this for each bullet fired in a scene, just select the keyframe's and select Copy.

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Then paste them on the next bullet fired.

Final Outcome