Parabolic transformation

Instructions:
A transformation is defined by the equations [math]x=u^2-v^2[/math] and [math]y=2uv[/math]. [br][br]1. Drag the [color=#3d85c6]BLUE[/color] point defined on the boundary of the square (left-side). Observe the effect of the transformation on the right side.[br][br]2. Drag the [color=#ff0000]RED[/color] point to change the position of the square. Observe the effect of the transformation on the right side.

Information: Parabolic transformation