In code:
Image1.AnchorParallel(akRight, 450, Form1);
In Anchor Editor:
Right Anchoring must be enable, set 450 in spinedit, select Form in combo and click the speedbutton in the middle.
Then you can anchor labels to the right side of the image. (AnchorToNeighbour).
EDIT:Label1.AnchorToNeighbour(akLeft, 10, Image1);