Master How to graph absolute value inequalities with horizontal and vertical transformations

This video tutorial explains how to graph absolute value inequalities using basic transformations. It covers the importance of understanding the parent graph and how transformations like shifts and dilations affect the graph. The tutorial also discusses how to determine boundary lines and shading using test points, and provides examples of handling multiple transformations. The video concludes with a review of the key concepts covered.

What is the parent graph of an absolute value function?

• Y = 1/X

• Y = |X|

• Y = X

• Y = X^2

How does the parameter H affect the graph of an absolute value function?

• It reflects the graph over the x-axis.

• It shifts the graph up or down.

• It compresses or stretches the graph.

• It shifts the graph left or right.

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

• The points on the line are included in the solution.

• The inequality is an equation.

• The graph is a solid line.

• The points on the line are not part of the solution.

Which test point is commonly used to verify solutions in inequality graphs?

• (1, 1)

• (-1, -1)

• (2, 2)

• (0, 0)

If the inequality is 'greater than or equal to', what type of boundary line is used?

• No line

• Solid line

• Dashed line

• Dotted line

How do you determine the shading region for 'Y is less than' inequalities?

• Shade to the right of the line

• Shade to the left of the line

• Shade below the line

• Shade above the line

What transformation occurs when the equation is |X - 4|?

• Shift right 4 units

• Shift left 4 units

• Shift up 4 units

• Shift down 4 units