How to graph an absolute value inequality with a horizontal shift

The video tutorial explains how to graph absolute value inequalities, similar to graphing absolute value equations. It covers identifying the vertex, plotting it, and using slopes to graph the inequality. The tutorial also discusses using test points to determine the solution area and shading the appropriate region. A dashed line is used to represent the graph when the inequality is not inclusive.

What is the primary difference between graphing absolute value inequalities and absolute value equations?

• Using a different type of graph paper

• Changing the graph's color

• Testing points to determine solutions

• The use of a different coordinate system

How do you determine the vertex of an absolute value graph?

• By identifying the opposite of H in the equation

• By using the slope of the line

• By finding the midpoint of the graph

• By calculating the average of all points

What happens to the graph when there is no value B multiplying X?

• The graph shifts vertically

• The lines have the same slope as the parent graph

• The graph becomes a circle

• The graph becomes a horizontal line

Why is a dashed line used in graphing certain absolute value inequalities?

• To indicate a boundary that is not part of the solution

• To make the graph more visually appealing

• To show the graph is complete

• To represent a solid boundary

How can you determine where to shade the graph of an absolute value inequality?

• By testing a point like (0,0) and checking the inequality

• By shading the entire graph

• By using a ruler to draw lines

• By shading only the vertex