How to graph a logarithmic function with horizontal shift

The video tutorial explains how to identify and apply transformations to graph logarithmic functions. It begins with an introduction to transformations and the concept of shifting graphs. The teacher then discusses the parent graph of a logarithmic function, highlighting its key points and characteristics. The tutorial proceeds with a step-by-step guide on graphing logarithmic functions, including using XY tables to plot points and apply transformations. Finally, the video covers the domain, range, and asymptotes of the graph, emphasizing the impact of transformations on these properties.

What does the expression X - 3 indicate in terms of graph transformations?

• Shift the graph 3 units down

• Shift the graph 3 units up

• Shift the graph 3 units to the right

• Shift the graph 3 units to the left

What is the parent graph of a logarithmic function?

• Y = sin(X)

• Y = log base B of X

• Y = X^2

• Y = e^X

How do you determine the new asymptote after shifting a graph 3 units to the right?

• The asymptote remains unchanged

• The asymptote shifts 3 units to the left

• The asymptote shifts 3 units to the right

• The asymptote shifts 3 units up

Which method can be used as an alternative to graph transformations?

• Using a histogram

• Using a polar coordinate system

• Using an XY table

• Using a pie chart

What is the domain of the transformed graph after shifting 3 units to the right?

• All X values less than or equal to 3

• All X values equal to 3

• All X values less than 3

• All X values greater than 3