How to describe and graph a dialation of an absolute value equation

The video tutorial covers the basics of absolute value functions, starting with identifying the parent function and its graph. It then explores transformations, including shifts and reflections, and their effects on the graph. The tutorial delves into dilations, explaining how they compress or stretch the graph horizontally or vertically. Finally, a practical example is provided to demonstrate graphing with dilations, reinforcing the concepts discussed.

What is the shape of the graph of a parent absolute value function?

• A V shape

• A U shape

• A circle

• A straight line

What happens to the graph of an absolute value function when you find the absolute value of negative numbers?

• The graph reflects over the x-axis

• The graph shifts to the right

• The graph shifts to the left

• The graph remains unchanged

Which of the following is NOT a type of transformation discussed in the video?

• Reflections

• Shifts

• Slides

• Rotations

What effect does multiplying an absolute value function by a constant greater than one have on the graph?

• It stretches the graph horizontally

• It compresses the graph horizontally

• It shifts the graph upwards

• It reflects the graph over the y-axis

If a constant less than one is used in a dilation, what happens to the graph?

• It stretches horizontally

• It compresses vertically

• It reflects over the x-axis

• It shifts downwards

In the practical example, what is the result of applying a dilation to the absolute value function?

• The graph becomes wider

• The graph shifts to the left

• The graph shifts to the right

• The graph becomes narrower

What is the absolute value of -4 when multiplied by 2 in the example?

• 8

• 6

• 4

• 2