When you insert a low dpi image (say 72) into a high dpi document (say 300) Affinity will adjust its physical dimensions (of the image) in relation to the document dimensions to match document's dpi. You can also change both image pixel dimensions and dpi at the same time for more flexibility when printing, but again since you are adding new pixels to the image you are again sacrificing image quality too as explained above. Note that the pixel image information has not changed in any way - you are simply printing it with different densities (placing the dots closer or farther from each other). Assuming that your image has 96 dpi, reducing this value to 72 dpi for example will increase the physical dimensions of the printed image because you are using less dots per inch and thus able to fill a bigger area increasing it to 300 will decrease the size of the printed image because you are now using more dots per inch and thus only able to fill a smaller area. With Resample unchecked, you can only change the physical dimensions of the image when printed without changing the image pixels (the pixels dimensions input fields are greyed out when you uncheck Resample). This will decrease image quality no matter if you are enlarging or reducing the number of pixels in the image (although enlarging is more problematic). That means adding or removing pixel to/from the image. With Resample checked you will change the image pixel dimensions.
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