Transformations of Absolute Value Functions

The video tutorial covers absolute value functions, focusing on how parameters a, h, and k affect their graphs. It explains transformations such as vertical and horizontal shifts, stretches, and reflections. The tutorial provides techniques for graphing these functions and identifying patterns. It concludes with a summary and practice problems to reinforce learning.

What is the essential question discussed in the introduction?

• What is the domain of the absolute value function?

• How do the values of a, h, and k affect the graph of the absolute value function?

• What are the properties of linear functions?

• How to solve absolute value equations?

What shape does the parent function of an absolute value function have?

• A circle

• A U shape

• A straight line

• A V shape

What happens to the graph when a constant is added outside the absolute value?

• It shifts right

• It shifts left

• It shifts upward

• It shifts downward

How does subtracting a constant inside the absolute value affect the graph?

• Shifts the graph to the right

• Stretches the graph vertically

• Shifts the graph to the left

• Shrinks the graph horizontally

What effect does multiplying a constant outside the absolute value have on the graph?

• It stretches the graph vertically

• It shifts the graph downward

• It shifts the graph upward

• It shrinks the graph horizontally

What is the effect of a negative fraction outside the absolute value?

• Reflects the graph over the x-axis

• Shifts the graph to the right

• Reflects the graph over the y-axis

• Shifts the graph to the left

In vertex form, what does the 'h' value represent?

• Vertical stretch

• Horizontal shift

• Horizontal stretch

• Vertical shift

How does the graph of G compare to the graph of F when G is narrower?

• G is a vertical shrink of F

• G is a vertical stretch of F

• G is a horizontal stretch of F

• G is a horizontal shrink of F

What happens to the graph when multiple transformations are applied?

• It can shift, stretch, and reflect

• It only shifts horizontally

• It remains unchanged

• It only shifts vertically