Graphing absolute value equations with a vertical shift translation

The video tutorial explains how to graph an absolute value equation, focusing on transformations and vertex shifts. It begins with an introduction to the concept, followed by a detailed explanation of how transformations affect the graph. The tutorial then provides a step-by-step guide to graphing the equation Y = |X| + 7, highlighting the shift of the vertex from (0,0) to (0,7). The video concludes with a summary of the graphing process.

What is the role of the vertex in an absolute value graph?

• It is the point where the graph changes direction.

• It indicates the maximum value of the graph.

• It is the midpoint of the graph.

• It determines the slope of the graph.

How does the addition of a constant outside the absolute value affect the graph?

• It stretches the graph.

• It shifts the graph horizontally.

• It compresses the graph.

• It shifts the graph vertically.

What is the new vertex of the graph for the equation Y = |X| + 7?

• (7,7)

• (0,7)

• (7,0)

• (0,0)

What remains unchanged in the graph of Y = |X| + 7 compared to the parent graph?

• The horizontal shift

• The slope of the graph

• The vertex position

• The pattern of points

What is the final step in graphing the transformed absolute value equation?

• Identifying the vertex

• Calculating the intercepts

• Finding the slope

• Plotting the points