Use a table of values to confirm the transformation of the function

The video tutorial explains graph transformations, focusing on the parabola y = X^2. It demonstrates how to use a table of values to understand graph shifts, specifically the transformation from X^2 to X^2 + 2, which results in a vertical shift. The tutorial emphasizes the importance of identifying graph changes by plotting points and understanding the effects of transformations.

How can you create a table of values for a function, and why is it useful?

What points did the teacher plug into the function to demonstrate the transformation?

What do you observe about the values of y when x is -1, 0, and 1 for the function y = x^2?

Explain how the graph changes when you apply the transformation y = x^2 + 1.

What is the transformation applied to the graph of y = x^2 to obtain the new graph?