Graphing logarithmic equations

The video tutorial explains how to graph a natural logarithm equation with transformations. It begins by introducing the concept of graphing transformations and then describes the basic appearance of a logarithmic graph. The tutorial demonstrates how to apply transformations, such as shifting the graph, and discusses the domain, range, and asymptotes of the graph. The video concludes with a summary of the graphing process.

What is the initial transformation applied to the natural logarithm graph in the video?

• Shift 3 units down

• Shift 3 units up

• Shift 2 units to the right

• Shift 2 units to the left

What is the y-value of the natural logarithm function when x equals 1?

• Undefined

• 0

• 1

• 2

How does the transformation affect the x-values of the graph?

• It shifts them 2 units to the right

• It doubles them

• It shifts them 2 units to the left

• It halves them

What is the new asymptote of the graph after the transformation?

• x = 0

• x = 1

• x = 3

• x = 2

What is the range of the natural logarithm function after the transformation?

• 0 to 1

• Negative Infinity to Infinity

• Negative Infinity to 0

• 0 to Infinity