Graphing and describing a vertical transformation

The video tutorial explains how to graph transformations of a cubic function. It begins with an introduction to the basic cubic function and its graph. The instructor then demonstrates how adding a constant to the function shifts the graph vertically upwards, while subtracting a constant shifts it downwards. The tutorial emphasizes understanding the impact of these transformations on the graph's coordinates.

Explain how the graph of a cubic function looks before and after a vertical transformation.

Why is it important to understand the transformations of functions in mathematics?