Graph Transformations and Effects

The video tutorial explains the graphing of absolute value functions, focusing on the V-shaped graph and its transformations. It covers how the parameters a, h, and k affect the graph's shape, position, and orientation. The tutorial also discusses the effects of shifting, reflecting, and compressing the graph, providing a comprehensive understanding of how these transformations alter the graph's appearance.

What is the basic shape of an absolute value graph?

• A circle

• A straight line

• A parabola

• A V shape

Which parameter affects the vertical stretch or compression of the graph?

• x

• k

• h

• a

What is the role of 'h' in the transformation of an absolute value graph?

• Shifts the graph left or right

• Shifts the graph up or down

• Reflects the graph

• Stretches the graph

How does the graph change when 'a' is less than 1?

• It stretches horizontally

• It compresses vertically

• It compresses horizontally

• It stretches vertically

Where is the vertex of an absolute value graph located after transformations?

• At the origin

• At (h, k)

• At (0, 0)

• At (a, b)

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

• It is the midpoint

• It is the starting point

• It is the lowest point

• It is the highest point

How does a negative 'a' value affect the graph?

• It reflects the graph

• It shifts the graph up

• It shifts the graph down

• It compresses the graph

What happens to the graph when 'k' is increased?

• The graph shifts down

• The graph shifts left

• The graph shifts right

• The graph shifts up

What does the 'k' value represent in the transformation formula?

• Vertical shift

• Compression

• Horizontal shift

• Reflection

What is the effect of a positive 'h' value on the graph?

• Stretches the graph

• Reflects the graph

• Shifts the graph right

• Shifts the graph left