Graphing the absolute value function with transformations

The video tutorial explains the absolute value graph, known for its V shape, and explores transformations using the formula y = a|x-h|+k. It covers how the parameters a, h, and k affect the graph's shape, position, and orientation. The tutorial details the vertex's role, shifts in the graph, and the impact of reflection and compression. It concludes with applying these transformations to modify the graph's appearance.

What is the basic shape of an absolute value graph?

• A circle

• A U shape

• A V shape

• A straight line

In the formula y = a|x - h| + k, what does the parameter 'a' do to the graph?

• Reflects the graph

• Shifts the graph up or down

• Shifts the graph left or right

• Compresses or stretches the graph

How does the parameter 'h' in the formula y = a|x - h| + k affect the graph?

• It shifts the graph up or down

• It shifts the graph left or right

• It compresses the graph

• It reflects the graph

What happens to the graph when the value of 'a' is negative?

• The graph opens downwards

• The graph opens upwards

• The graph shifts downwards

• The graph shifts upwards

If the graph is compressed horizontally, what change occurs in the slope?

• The slope remains unchanged

• The slope becomes flatter

• The slope becomes steeper

• The slope becomes negative