Identify the transformations and graph logarithmic function

The video tutorial explains transformations of the logarithmic function, focusing on horizontal and vertical shifts. It covers how to sketch the graph of a transformed function, emphasizing the importance of understanding the X intercept and asymptote. The tutorial concludes with a discussion on determining the domain and range of the graph.

What type of transformation occurs when you add a number inside the parentheses of a logarithmic function?

• Horizontal shift

• Reflection

• Dilation

• Vertical shift

When subtracting a number outside the parentheses of a logarithmic function, what transformation is applied?

• Horizontal shift

• Reflection

• Vertical shift

• Stretch

What happens to the x-intercept of a logarithmic function when it is shifted left by three units?

• It moves up by three units

• It moves left by three units

• It remains unchanged

• It moves right by three units

How does the vertical asymptote of a logarithmic function change when the function is shifted left by three units?

• It moves up by three units

• It moves left by three units

• It remains unchanged

• It moves right by three units

What is the domain of a logarithmic function that has been shifted left by three units?

• (-∞, -3)

• (0, ∞)

• (-3, ∞)

• (-∞, ∞)