Graph an absolute value equation with a reflection and horizontal stretch

This video tutorial explains how to graph an absolute value equation by identifying transformations such as reflection over the x-axis and horizontal stretching. It demonstrates using a table of values to determine how the graph is affected and provides a step-by-step guide on selecting points for easier graphing. The tutorial concludes with plotting and reflecting points to complete the graph, emphasizing the symmetry of absolute value equations.

What transformation occurs when the absolute value equation is multiplied by a negative constant?

• The graph shifts upwards.

• The graph reflects over the X-axis.

• The graph shifts to the right.

• The graph becomes narrower.

Why is it beneficial to choose points like 4 and 8 when graphing the equation?

• They are closer to the origin.

• They simplify the equation to a linear form.

• They result in integer values, making graphing easier.

• They are the only points that work.

What is the significance of the axis of symmetry in graphing absolute value equations?

• It helps in determining the slope of the graph.

• It allows for the reflection of one side to complete the graph.

• It indicates the maximum point of the graph.

• It shows where the graph intersects the Y-axis.

How does the graph appear when it is horizontally stretched?

• It shifts downwards.

• It shifts upwards.

• It becomes wider.

• It becomes narrower.

What is the final step in completing the graph of an absolute value equation?

• Finding the vertex.

• Reflecting the plotted points over the axis of symmetry.

• Calculating the slope.

• Identifying the Y-intercept.