This one is going downwind (like going down current on a boat), but it shows how the view is different.
This one shows going upwind (lower left picture), but it's a really small picture.
Note that the effect feels dramatic as the plane is really going fast downwind. Even turning broadside to the wind, you get pushed downwind. And after straightening out you end up back behind where you would have been otherwise.
As pilots we had to learn to make perfect circles over the ground on a windy day.