Write the natural logarithmic function given the transformations

The video tutorial explains how to apply transformations to a function, including vertical compression, reflection across the Y-axis, and vertical shifting. The instructor guides through identifying the components of the transformation function, applying the transformations, and simplifying the expression.

What is the effect of a vertical compression on a graph?

• It compresses the graph vertically.

• It reflects the graph over the X-axis.

• It stretches the graph horizontally.

• It shifts the graph to the right.

Which parameter is responsible for reflecting a graph over the Y-axis?

• Parameter D

• Parameter C

• Parameter B

• Parameter A

What does parameter D control in graph transformations?

• Horizontal shift

• Vertical compression

• Vertical shift

• Reflection over the X-axis

If a graph is shifted up by 3 units, which parameter is adjusted?

• Parameter D

• Parameter B

• Parameter C

• Parameter A

In the transformation function, what value should B have for a reflection over the Y-axis?

• Greater than 1

• Negative

• Zero

• Positive