Exploring Absolute Value Function Transformations

The video tutorial explores transformations of absolute value functions, starting with the parent function and moving through various transformations including horizontal and vertical shifts, scaling, reflection, and compression. The tutorial explains how these transformations affect the vertex and slope of the function, using examples and plotting to illustrate the changes. The video concludes by combining multiple transformations to demonstrate the flexibility and complexity of function manipulation.

What is the vertex of the parent function of an absolute value function?

• (1, 1)

• (0, 0)

• (-1, -1)

• (2, 2)

If the absolute value function is transformed by adding 3 inside the absolute value, where does the vertex move?

• 3 units down

• 3 units to the right

• 3 units up

• 3 units to the left

What happens to the vertex of the absolute value function when you add 3 outside the absolute value?

• It moves 3 units down

• It moves 3 units up

• It moves 3 units to the left

• It moves 3 units to the right

If the absolute value function is transformed by adding 2 inside and subtracting 4 outside, where is the new vertex?

• (-2, -4)

• (2, -4)

• (-2, 4)

• (2, 4)

How does the graph of the absolute value function change when multiplied by 2?

• It becomes wider

• It becomes narrower

• It shifts up

• It shifts down

What is the effect of multiplying the absolute value function by a negative integer?

• It shifts down

• It reflects over the y-axis

• It shifts up

• It reflects over the x-axis

What is the slope of the absolute value function when multiplied by 4?

• 3

• 2

• 1

• 4

How does the graph of the absolute value function change when multiplied by -1?

• It shifts up

• It shifts down

• It reflects over the x-axis

• It reflects over the y-axis

What happens to the graph of the absolute value function when multiplied by a fraction between 0 and 1?

• It shifts down

• It becomes wider

• It becomes narrower

• It shifts up

What is the new vertex if the absolute value function is shifted right 5 units and up 6 units?

• (5, 6)

• (-5, -6)

• (-5, 6)

• (5, -6)