Graphing absolute value equation with a horizontal shift translation

The video tutorial explains how to graph an absolute value equation, specifically focusing on the equation Y = |X - 4|. It covers the concept of transformations, particularly how the value of H in the equation affects the vertex of the graph. The tutorial demonstrates shifting the graph 4 units to the right and provides a step-by-step guide to plotting the graph using the vertex and other points. The process is simplified by following a consistent pattern due to the lack of compression in the equation.

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

• It changes the slope of the graph.

• It shifts the vertex horizontally.

• It compresses the graph vertically.

• It reflects the graph over the x-axis.

Where is the new vertex located when the equation is Y = |X - 4|?

• (0, 4)

• (4, 0)

• (0, 0)

• (-4, 0)

How does the graph of Y = |X - 4| differ from the parent graph Y = |X|?

• It is shifted 4 units up.

• It is shifted 4 units down.

• It is shifted 4 units to the right.

• It is shifted 4 units to the left.

What pattern is followed when plotting points on the graph of an absolute value function without compression?

• Over 2, up 2

• Over 1, up 1

• Over 1, up 2

• Over 2, up 1

What is the final step in graphing the absolute value equation Y = |X - 4|?

• Shift the graph 4 units to the left.

• Reflect the graph over the y-axis.

• Compress the graph vertically.

• Shift the graph 4 units to the right.