Vertical Transformations of Functions

This video tutorial explains how to graph absolute value functions that involve vertical stretches and compressions. It covers the conditions under which a graph is stretched or compressed, using factors greater than one for stretches and between zero and one for compressions. The tutorial provides examples of graphing these functions, demonstrating how the parent function is transformed. It concludes with an invitation to explore additional resources and reach out with questions.

What is the main focus of this video tutorial?

• Graphing quadratic functions

• Graphing absolute value functions with vertical transformations

• Graphing linear functions

• Graphing exponential functions

What indicates a vertical stretch in a function?

• A term inside the absolute value

• A term outside the absolute value less than 1

• A negative term inside the absolute value

• A term outside the absolute value greater than 1

How does a vertical stretch affect the graph of a function?

• It reflects the graph over the x-axis

• It shifts the graph to the right

• It compresses the graph horizontally

• It stretches the graph vertically

What range of values indicates a vertical compression?

• Values between 0 and 1

• Negative values

• Values less than 0

• Values greater than 1

What happens to a graph when a negative value is used?

• It stretches vertically

• It shifts upwards

• It reflects over the x or y-axis

• It compresses vertically

In the example of vertical stretch, what factor is used?

• Factor of 2

• Factor of 3

• Factor of 1.5

• Factor of 0.5

What is the parent function for the absolute value graph?

• y = x^2

• y = |x|

• y = x

• y = 1/x

How does the graph change when a vertical stretch is applied?

• It becomes wider

• It becomes narrower

• It shifts downwards

• It shifts to the left

In the example of vertical compression, what factor is used?

• Factor of 2

• Factor of 0.5

• Factor of 3

• Factor of 1.5

What happens to the graph when a vertical compression is applied?

• It reflects over the x-axis

• It compresses vertically

• It shifts upwards

• It stretches vertically