Label the transformations of the natural logarithmic function, domain and range

The video tutorial explains the transformations of the logarithmic function, focusing on the parameters A, B, C, and D. It covers how these parameters affect the graph, including reflections, compressions, and shifts. The tutorial also discusses the impact of transformations on the domain and range of the function.

What is the parent function of a logarithmic function?

• Exponential function

• Linear function

• Logarithmic function

• Quadratic function

What does a negative B value indicate in the transformation of a logarithmic function?

• Horizontal shift

• Reflection about the Y-axis

• Vertical shift

• Vertical stretch

If D is negative in a logarithmic function transformation, what happens to the graph?

• It reflects over the X-axis

• It compresses horizontally

• It shifts down

• It shifts up

What is the effect of a horizontal compression on the graph of a logarithmic function?

• The graph shifts to the right

• The graph compresses horizontally

• The graph stretches vertically

• The graph shifts to the left

How does reflecting a logarithmic function over the Y-axis affect its graph?

• It flips the graph vertically

• It shifts the graph down

• It shifts the graph up

• It flips the graph horizontally

What happens to the domain of a logarithmic function when it is reflected?

• It becomes negative

• It shifts to the right

• It is affected by horizontal shifts

• It remains unchanged

Why is the range of a logarithmic function often unaffected by transformations?

• Because it is always positive

• Because it is unrestricted

• Because it is always negative

• Because it is always zero