Learn how to graph an absolute value equation with a vertical shift down

The video tutorial explains how to graph an absolute value inequality, specifically focusing on the equation y = |x| - 3. It covers the basic properties of the graph, including its shape and transformation. The tutorial highlights the effect of the transformation, which shifts the graph downward by 3 units, and explains how to determine the new vertex. The instructor provides a step-by-step guide to graphing the inequality, emphasizing the importance of maintaining the same slope and symmetry. The tutorial concludes by summarizing the key difference between the parent graph and the transformed graph.

What is the basic form of the absolute value function discussed in the video?

• y = |x| + 5

• y = |x|

• y = |x| - 3

• y = |x| + 3

How does subtracting a number outside the absolute value function affect the graph?

• It shifts the graph to the right.

• It shifts the graph upwards.

• It shifts the graph to the left.

• It shifts the graph downwards.

What is the new vertex of the graph after the transformation?

• (-3, 0)

• (3, 0)

• (0, -3)

• (0, 0)

What pattern should be followed when plotting points from the vertex?

• Over 1, up 2

• Over 1, up 3

• Over 2, up 1

• Over 1, up 1

What is the main difference between the parent graph and the transformed graph?

• The graph is compressed horizontally.

• The graph is shifted 3 units down.

• The graph is shifted 3 units up.

• The graph is stretched vertically.