user4356: When I add text to an after effects project there's an "animate" triangle I can click which lets me animate the position of the text from 0.0, 0.0. This is great because if I duplicate that layer and move it around the text animates relatively from its new position no problem. 
I'd like to do this with an image but I can't work out how to do it. Animating the position of the image based on key frames is fine but when I try to duplicate and move the animated image around it animates from it's original position. 
Is there any easy way to do this? 

user5591: And furthermore there is parenting. You parent your image to a null. Copy the null and image over, and set the null in a new position. The image will move relative to the null's position 

user1950: You can move the anchor point of a layer, but this may upset scale, rotation or masking. There is a much simpler and very intuitive way to do it.
Click on the position property to select all keyframes. Park the playhead on one of these keyframes (use j or k keys to do this). Now if you move one of the keyframes they all move. If you don't park the playhead on an existing keyframe then you will just create a new keyframe at the current time and leave the others unchanged.

Tip: If you need to have the playhead at a particular time to see the
  relative position and there is no keyframe there, just create a
  temporary one at the current time.


4356: <p>When I add text to an after effects project there's an "animate" triangle I can click which lets me animate the position of the text from 0.0, 0.0. This is great because if I duplicate that layer and move it around the text animates relatively from its new position no problem. </p>

<p>I'd like to do this with an image but I can't work out how to do it. Animating the position of the image based on key frames is fine but when I try to duplicate and move the animated image around it animates from it's original position. </p>

<p>Is there any easy way to do this? </p>
 5591: <p>And furthermore there is parenting. You parent your image to a null. Copy the null and image over, and set the null in a new position. The image will move relative to the null's position </p>
 1950: <p>You can move the anchor point of a layer, but this may upset scale, rotation or masking. There is a much simpler and very intuitive way to do it.</p>

<p>Click on the position property to select all keyframes. Park the playhead on one of these keyframes (use j or k keys to do this). Now if you move one of the keyframes they all move. If you don't park the playhead on an existing keyframe then you will just create a new keyframe at the current time and leave the others unchanged.</p>

<blockquote>
  <p>Tip: If you need to have the playhead at a particular time to see the
  relative position and there is no keyframe there, just create a
  temporary one at the current time.</p>
</blockquote>
