Degree elevation of the quadratic Bezier segment

This is an illustration of so called "degree elevation" of Bezier segment.
The Bezier segment of degree n can be reprezented as a Bezier segment of any degree k>n.
I used the de Castejau alghoritm.
What you see is the same quadratic parabola (blue) moved by vector u and reprezented as a Bezier segment of degree 3 (red), then moved by 2u and reprezented as a Bezier segment of degree 4 (green).
You can use both the slider and the tools: Bezier2, Bezier3, Bezier4 to check if this is true. For example hide the green segment of degree 4, then redraw it as a trace of the yellow point or as a locus using the Bezier4 tool with control points R0, R1, R2, R3, R4.
All large blue points are inputs and can be moved. Try u=0, by setting W=V

Zbyszek Radziszewski, Lublin Poland, Created with GeoGebra