The difference between vertical shift and horizontal compression

The video tutorial discusses the concept of horizontal reflection and compression in graphs, focusing on the differences between horizontal and vertical transformations. It explains how a horizontal stretch can be related to a vertical compression and vice versa. The tutorial also covers how to determine the domain and range of a graph after transformations, emphasizing the impact of vertical transformations on the range.

What does a negative sign inside a function indicate in terms of graph transformation?

• Horizontal compression

• Vertical reflection about the X-axis

• Horizontal reflection about the Y-axis

• Vertical stretch

How can a horizontal stretch be related to a vertical compression?

• They are completely unrelated

• A horizontal stretch results in a vertical stretch

• A horizontal stretch has similar effects as a vertical compression

• A horizontal stretch results in a vertical reflection

What happens to a graph when it is horizontally stretched?

• It becomes narrower

• It becomes wider

• It shifts downwards

• It shifts upwards

How does a vertical shift affect the range of a graph?

• It changes the domain

• It does not affect the range

• It shifts the range up or down

• It compresses the range

What is the domain of a graph that is reflected about the Y-axis and horizontally stretched?

• From negative infinity to positive infinity

• From -1 to 1

• From 0 to positive infinity

• From negative infinity to 0