How to shift and reflect an absolute value inequality ex 2

The video tutorial explains how to graph an absolute value inequality. It covers identifying the vertex, understanding the impact of negative signs on graph reflection, and determining whether the graph should be solid or dashed. The tutorial also explains how to plot the vertex and follow the pattern for graphing, as well as how to determine the correct shading for the inequality.

What is a common mistake students make when identifying the vertex of an absolute value inequality?

• Misplacing the vertex on the Y-axis

• Forgetting to consider the B value

• Ignoring the absolute value

• Confusing the inequality sign

How does a negative sign inside the absolute value affect the graph?

• It shifts the graph upwards

• It stretches the graph

• It reflects the graph over the Y-axis

• It compresses the graph

What determines whether the graph of an inequality is solid or dashed?

• The absolute value being greater than one

• The value of the vertex

• The presence of a negative sign

• The inequality sign being greater than or equal to

Which point is used to verify the shading of the graph?

• A point on the X-axis

• The origin (0,0)

• A point on the Y-axis

• The vertex

What is the result of testing the point (0,0) in the inequality?

• The point is always true

• The point is always false

• The point is false, indicating shading inside

• The point is true, indicating shading outside