Identify transformations, graph and determine domain and range radical function

The video tutorial explains how to apply transformations to functions, focusing on reflections, horizontal compressions, and vertical shifts. It guides through identifying transformations inside and outside functions, using absolute values for compression factors, and graphing these changes. The tutorial concludes with analyzing the domain and range of the transformed graph.

What is the effect of multiplying a function by a negative value inside the function?

• It results in a vertical stretch.

• It causes a reflection over the Y-axis.

• It shifts the graph to the right.

• It compresses the graph horizontally.

What does a horizontal compression factor of 2 indicate?

• The graph is compressed horizontally by a factor of 2.

• The graph is reflected over the X-axis.

• The graph is stretched vertically by a factor of 2.

• The graph is shifted up by 2 units.

How does adding 1 outside the function affect the graph?

• It shifts the graph down by 1 unit.

• It compresses the graph horizontally.

• It shifts the graph up by 1 unit.

• It reflects the graph over the Y-axis.

What is the domain of the transformed graph discussed in the video?

• One to Positive Infinity

• Zero to Positive Infinity

• Negative Infinity to Zero, including Zero

• Negative Infinity to Positive Infinity

What is the range of the transformed graph discussed in the video?

• Negative Infinity to Positive Infinity

• Negative Infinity to One

• One to Positive Infinity

• Zero to Positive Infinity