Transformations of Absolute Value Functions

The video tutorial explains how to find and describe transformations of absolute value functions. It covers the parent graph, the role of H, K, and A in transformations, and how these affect the graph's position and shape. The tutorial also discusses vertical and horizontal shifts, reflections, and provides examples to illustrate these concepts.

What is the main focus of the video tutorial?

• Solving quadratic equations

• Understanding transformations of absolute value functions

• Graphing linear equations

• Learning about polynomial functions

Which of the following is NOT a type of graph mentioned in the introduction?

• Absolute value of x^2

• Absolute value of x + 6

• Absolute value of x - 3

• Absolute value of x

What is the parent graph of an absolute value function?

• y = x^2

• y = |x|

• y = x + 3

• y = x - 3

What is the value of y when x = 2 in the parent graph of an absolute value function?

• 3

• 1

• 0

• 2

What does the vertex of an absolute value graph represent?

• The point where the graph intersects the y-axis

• The point where the graph intersects the x-axis

• The lowest point on the graph

• The highest point on the graph

What role does 'a' play in the transformation of an absolute value graph?

• It reflects the graph over the x-axis

• It compresses or stretches the graph

• It shifts the graph up or down

• It shifts the graph left or right

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

• The graph opens downwards

• The graph opens upwards

• The graph shifts to the left

• The graph shifts to the right

What happens to the graph when a number is added or subtracted outside the function?

• The graph reflects over the y-axis

• The graph shifts left or right

• The graph shifts up or down

• The graph reflects over the x-axis

If the function is y = |x| - 3, how is the graph transformed?

• Shifted 3 units up

• Shifted 3 units right

• Shifted 3 units left

• Shifted 3 units down

What is a common mistake students make with horizontal transformations?

• Assuming they stretch the graph

• Believing they compress the graph

• Thinking they reflect the graph

• Confusing them with vertical shifts