Graphing Inequalities and Transformations

The video tutorial explains how to graph absolute value inequalities by treating them like absolute value equations. It covers the importance of identifying whether the graph should be solid or dashed based on the inequality sign. The tutorial also discusses how to determine the vertex and apply transformations, as well as using shading and test points to identify the solution set. The video concludes with a summary of the graphing process.

What is the first step in graphing an absolute value inequality?

• Determine if the graph is solid or dashed

• Graph it like an absolute value equation

• Choose test points

• Identify the vertex of the graph

What is the role of the parent graph in graphing inequalities?

• It determines the slope

• It is the midpoint of the graph

• It is the endpoint of the graph

• It serves as a reference for transformations

When should the graph of an inequality be dashed?

• When the inequality is greater than or less than

• When the inequality is greater than or equal to

• When the inequality is less than or equal to

• When the inequality is equal to

What does a solid line in the graph of an inequality indicate?

• The inequality is true

• The inequality is false

• The line is part of the solution

• The line is not part of the solution

What happens to the graph if the inequality is 'greater than or equal to'?

• The graph is dashed

• The graph is inverted

• The graph is solid

• The graph is not plotted

What does the inequality 'x > 2' imply about the graph?

• The graph is inverted

• The graph is not plotted

• The graph is dashed

• The graph is solid

What is the significance of the inequality symbol in graphing?

• It determines the vertex

• It determines if the graph is solid or dashed

• It determines the slope

• It determines the midpoint

How does the vertex of the graph change with the transformation x + 2?

• The vertex moves 2 units down

• The vertex moves 2 units up

• The vertex moves 2 units to the left

• The vertex moves 2 units to the right

What is the new vertex of the graph if the transformation is x + 2 and +3?

• (-2, -3)

• (2, 3)

• (-2, 3)

• (2, -3)

What is the effect of the transformation +3 on the graph?

• Shifts the graph 3 units to the right

• Shifts the graph 3 units to the left

• Shifts the graph 3 units up

• Shifts the graph 3 units down