Applying transformations to graph an exponential function

The video tutorial explains the concept of base E as a constant in exponential functions, emphasizing that it is not a variable. It covers graphing exponential functions using transformations, including shifts and reflections over the X and Y axes. The tutorial also discusses the domain, range, and asymptotes of these graphs, highlighting how shifts affect these properties. The key takeaway is understanding how transformations impact the graph's appearance and behavior.

What is the significance of the base E in exponential functions?

How do transformations affect the graph of an exponential function?

What is the Y-intercept of all exponential functions regardless of the base?

Explain the effect of adding a constant outside the function on the graph.

What happens to the graph when you reflect it over the Y-axis?

Describe the domain and range of the transformed exponential function discussed.

What is the new position of the asymptote after shifting the graph up by 3 units?