Cropping and translating images is a common workflow. I first use nodes and crop an image (same goes for a video) which is to only use a portion of an image, for example, taking a PC-sized portion of an HD image. I explain that the nodes do not scale and instead start at the middle of the pic. I compare this to the VSE Sequencer and how it works. Use this to re-size image resolutions. Also cover the Scale and Translate nodes in the Distort group.

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