Project Image
You create an illusory copy of yourself that lasts for the duration. The copy can appear at any location within range that you have seen before, regardless of intervening obstacles. The illusion looks and sounds like you, but it is intangible. If the illusion takes any damage, it disappears, and the spell ends.
You can see through the illusion's eyes and hear through its ears as if you were in its space. As a Magic action, you can move it up to 60 feet and make it gesture, speak, and behave in whatever way you choose. It mimics your mannerisms perfectly.
Physical interaction with the image reveals it to be illusory, since things can pass through it. A creature that takes the Study action to examine the image can determine that it is an illusion with a successful Intelligence (Investigation) check against your spell save DC. If a creature discerns the illusion for what it is, the creature can see through the image, and any noise it makes sounds hollow to the creature.
Project Image 5e 2024 vs. 2014 edition differences
The 2024 version specifies the illusion lasts "up to 1 day," and moving it requires a Magic action with a 60-foot limit, whereas the 2014 version allows moving it as an action up to twice your speed with no range limit. The investigation check is triggered by a Study action in 2024, versus any action in 2014.