Graphing an absolute value equation with a vertical compression and vertical shift

The video tutorial explains how to graph an absolute value function, Y = -1/4X + 1, by identifying transformations such as vertical shrink and horizontal stretch. It covers the impact of negative signs on reflections over the X and Y axes and the symmetry of absolute value functions. The tutorial demonstrates using a table of values to select points that simplify calculations, avoiding fractions and decimals. Finally, it shows how to plot these points and complete the graph, emphasizing the function's transformations and symmetry.

What effect does a B value less than one have on the graph of an absolute value function?

• It causes a vertical stretch.

• It shifts the graph to the right.

• It reflects the graph over the X-axis.

• It results in a vertical shrink or horizontal stretch.

How does the value of K affect the vertex of an absolute value function?

• It moves the vertex to the left.

• It shifts the vertex up or down.

• It reflects the vertex over the Y-axis.

• It does not affect the vertex.

What happens when there is a negative sign outside the absolute value function?

• The graph reflects over the Y-axis.

• The graph becomes wider.

• The graph reflects over the X-axis.

• The graph shifts to the right.

Why is it beneficial to choose values that a fraction will divide into when using a table of values?

• It simplifies calculations by avoiding fractions and decimals.

• It makes the graph taller.

• It makes the graph more colorful.

• It ensures the graph is symmetrical.

What is the absolute value of -1 plus 1?

• 3

• 2

• 1

• 0