Exploring Absolute Value Transformations

What are the basic types of transformations that can be applied to functions?

• Rotations and reflections

• Reflections and translations

• Shifts, stretches, and shrinks

• Translations and dilations

In the parent function y = |x|, what is the slope of the lines extending from the vertex?

• 2

• 1

• 3

• 0

How does the slope of the absolute value function change when the coefficient of x is between 0 and 1?

• The graph shifts right

• The graph shrinks

• The graph shifts left

• The graph stretches

What happens to the graph of y = |x| when the coefficient of x is greater than 1?

• It stretches

• It shrinks

• It shifts down

• It shifts up

If a function y = 2|x + 1| is given, what is the first transformation applied?

• Shift to the right by 1

• Shrink by a factor of 2

• Shift to the left by 1

• Stretch by a factor of 2

For the function y = -2/3|x - 1| + 2, what is the direction of the shift?

• Left and down

• Right and up

• Left and up

• Right and down

What is the domain of any absolute value function?

• 0 to 1

• Negative infinity to infinity

• Negative infinity to 0

• 0 to infinity

In the function y = |x|, what is the range?

• 1 to infinity

• Negative infinity to infinity

• 0 to infinity

• Negative infinity to 0

For the function y = |x| - 3, what is the lowest point on the graph?

• 1

• 3

• -3

• 0

What is the range of the function y = |x| + 2?

• Negative infinity to infinity

• 0 to 2

• Negative infinity to 2

• 2 to infinity