Master How to graph absolute value inequalities with compression and stretching

The video tutorial explains how to graph absolute value inequalities, focusing on transformations involving horizontal and vertical shifts, reflections, and the role of the coefficient 'A'. It covers graphing techniques, including using tables of values and graphing utilities, and provides detailed examples of graphing with different 'A' values. The tutorial concludes with handling multiple transformations and emphasizes the importance of identifying transformations and using test points.

What happens to the graph of an absolute value inequality when 'a' is negative?

• It shifts to the right.

• It shifts upwards.

• It becomes wider.

• It reflects over the x-axis.

What is the role of 'H' in the transformation of an absolute value graph?

• It determines the vertical shift.

• It changes the width of the graph.

• It affects the slope of the graph.

• It controls the horizontal shift.

If 'a' is less than 1, what effect does it have on the graph?

• It compresses the graph vertically.

• It stretches the graph horizontally.

• It shifts the graph downwards.

• It reflects the graph over the y-axis.

How do you determine the new vertex of a graph after a transformation?

• By finding the midpoint of the graph.

• By applying the transformations to the original vertex.

• By calculating the average of all points.

• By using the slope of the graph.

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

• The boundary line is part of the solution.

• The graph is reflected over the x-axis.

• The graph is compressed vertically.

• The inequality is strict (not equal to).

When graphing an inequality, why might you use a test point?

• To determine the vertex of the graph.

• To verify if a point is part of the solution.

• To find the slope of the graph.

• To calculate the width of the graph.

What is the effect of a positive 'a' value greater than 1 on the graph?

• It stretches the graph vertically.

• It compresses the graph horizontally.

• It reflects the graph over the y-axis.

• It shifts the graph to the left.