Using parent graphs to understand the left and right hand limits

The video tutorial explains function transformation by subtracting 2, which shifts the graph 2 units to the right. It highlights the discontinuity at x=2 and discusses the limits from the left and right sides of the graph. The tutorial concludes with advice on using a calculator to visualize the graph.

What effect does subtracting 2 from the function have on the graph?

What can be said about the limit at x = 2 based on the graph?

Describe the limits from the left and right-hand sides at x = 2.

How does the transformation of the function affect the original graph?

Explain what happens to the graph when it is shifted 2 units to the right.