Absolute Value Transformations Review

What are the parameters involved in the transformation of an absolute value function?

• a, b, and c

• x, y, and z

• m, n, and p

• a, h, and k

If the function y = |x - 3| is given, in which direction is the function shifted?

• Down 3 units

• Up 3 units

• Right 3 units

• Left 3 units

For the function y = |x + 4|, what is the horizontal shift?

• Left 4 units

• Right 4 units

• Up 4 units

• Down 4 units

What does a positive number outside the absolute value function indicate?

• Vertical shift down

• Vertical shift up

• Horizontal shift to the right

• Horizontal shift to the left

In the function y = |x| - 6, what is the vertical shift?

• Up 6 units

• Right 6 units

• Left 6 units

• Down 6 units

What does a negative sign in front of the absolute value function indicate?

• Reflection over the y-axis

• Horizontal shift

• Vertical shift

• Reflection over the x-axis

For the function y = -|x|, what transformation occurs?

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical shift

• Horizontal shift

If the function y = 3|x| is given, what type of transformation does the number 3 indicate?

• Stretch

• Horizontal shift

• Compression

• Reflection

For the function y = 1/2|x|, what type of transformation occurs?

• Stretch

• Compression

• Reflection

• Vertical shift

Which of the following values would indicate a compression in the function y = a|x|?

• a = 2

• a = 1/3

• a = -4

• a = 5