Graphing absolute value equations with a reflection and horizontal stretch and translations

This video tutorial explains how to graph an absolute value inequality. It begins by identifying the new vertex after transformations and discusses the effect of the coefficient on the graph's horizontal stretch. The tutorial uses a table of values to find points on the graph, calculates Y values for chosen X values, and completes the graph by reflecting points over the axis of symmetry.

What is the new vertex of the graph after considering the transformations?

• (4, 3)

• (1, 1)

• (0, 0)

• (3, 4)

How does the coefficient 1/4 affect the graph of the absolute value inequality?

• It stretches the graph horizontally.

• It compresses the graph horizontally.

• It shifts the graph downward.

• It stretches the graph vertically.

Why is it useful to use a table of values when graphing the absolute value inequality?

• To easily find points on the graph.

• To determine the slope of the line.

• To calculate the y-intercept.

• To find the axis of symmetry.

What is the y-value when x = 2 in the graph of the absolute value inequality?

• 4

• 2.5

• 3.5

• 3

What is the y-value when x = 0 in the graph of the absolute value inequality?

• 5

• 4

• 3

• 2