Exploring Absolute Value Transformations

What shape do absolute value graphs typically form?

• W shape

• U shape

• V shape

• S shape

What is the parent function for absolute value transformations?

• y = 1/x

• y = x

• y = |x|

• y = x^2

What happens to the graph of y = |x| when a positive number is added outside the absolute value bars?

• It shifts right

• It shifts up

• It shifts left

• It shifts down

If a negative number is subtracted outside the absolute value bars, what is the effect on the graph?

• It shifts up

• It shifts down

• It shifts left

• It shifts right

What is the effect on the graph when a positive number is added inside the absolute value bars?

• It shifts left

• It shifts right

• It shifts up

• It shifts down

When a negative number is subtracted inside the absolute value bars, what happens to the graph?

• It shifts up

• It shifts down

• It shifts left

• It shifts right

What is the effect on the graph when the absolute value function is multiplied by a number greater than 1?

• It shifts up

• It gets narrower

• It shifts down

• It gets wider

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

• It gets wider

• It gets narrower

• It shifts right

• It shifts left

How does the graph change when a negative sign is placed in front of the absolute value function?

• It reflects across the x-axis

• It reflects across the y-axis

• It shifts up

• It shifts down

What transformation occurs when the equation y = |x| is changed to y = |x - 4| + 3?

• Shifts right 4 units and down 3 units

• Shifts left 4 units and up 3 units

• Shifts left 4 units and down 3 units

• Shifts right 4 units and up 3 units