How to graph an absolute value inequality with a vertical compression & vertical shift

The video tutorial explains how to graph absolute value inequalities by transforming the equation, determining the type of line (dashed or solid), and using test points to decide shading. It covers the steps of solving for Y, understanding transformations, creating a table of values, plotting points, and reflecting them to complete the graph. The tutorial emphasizes the importance of test points in determining the correct shading for the inequality.

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

• Determine the line type

• Transform the equation into a preferred form

• Plot the vertex

• Use a test point

How do you decide if the graph should have a dashed or solid line?

• By the inequality symbol

• By the slope of the line

• By the color of the graph

• By the number of test points

What effect does multiplying by 1/2 have on the graph?

• It compresses the graph vertically

• It stretches the graph horizontally

• It shifts the graph up

• It reflects the graph over the x-axis

What is the new vertex of the graph after shifting it up by 8 units?

• (0, 0)

• (0, 8)

• (8, 0)

• (8, 8)

Why is it beneficial to use a table of values when graphing?

• To easily plot points and reflect them

• To find the slope of the line

• To calculate the vertex

• To determine the line type

Which point is commonly used as a test point for shading?

• (2, 2)

• (-1, -1)

• (0, 0)

• (1, 1)

What does it mean if the test point satisfies the inequality?

• The line should be dashed

• The graph is incorrect

• The shading is above the graph

• The shading is below the graph