I need someone who is really strong at the Python and can really can help me for this exercise:

To do this, we apply to each column of pixels a vertical scale whose center is located on the lower edge of the image.

The upper edge of the transformed image is a parabola. This parabola is tangent to the upper edge of the image at the upper right vertex of the image area.

In the following we ask to use the image zone axis system.

a$)$ find the equation of the parabola.

b$)$ complete the python program below so that it achieves this transformation