How to describe and graph a vertical translation of a quadratic function

The video tutorial covers quadratic functions, focusing on their characteristics and transformations. It explains the shape of parabolas and key points they pass through. The tutorial also discusses how to apply transformations to shift graphs, emphasizing the effects of adding or subtracting numbers outside the function. Practical applications of these transformations are demonstrated, providing a comprehensive understanding of quadratic functions and their graphical representations.

What points does the quadratic function go through as mentioned in the text?

What is the significance of the negative sign in the context of reflections in the graph?

How does the graph of a quadratic function change when you subtract a number from it?