Final answer:
The provided question discusses velocity transformations in Einstein's theory of relativity, where the speed of light remains constant in all frames of reference, unlike what Galilean transformations would suggest.
Step-by-step explanation:
The transform mentioned in the question refers to velocity transformations in the context of Einstein's theory of relativity. It addresses a situation where traditional Galilean transformations don't apply to the behavior of light. If we were to use Galilean transformations, we would expect the light speed from the car's headlights to be additive with the car's speed (u = v + c), meaning that a pedestrian would perceive the light approaching at that combined speed.
However, according to Einstein's theory, the speed of light (c) is constant and does not change even when the source of light (in this case, the car) is moving. This is a fundamental aspect of special relativity, which has widespread implications for our understanding of space and time.