Transforming Absolute Value Functions

Determine the Domain of the function.

• x > 3

• x < 3

• x > -3

• All Reals

Determine the Range of the function

• All Reals

• y > 2

• x > 3

• y < 2

Determine the Range of the function

• y > 2

• y < 2

• y > 0

• y < 0

Determine the Range of the function

• y > 1

• y < 1

• y > 2

• y < -2

Determine the range of the function

• y > 5

• y < 5

• y > 2

• y < 2

What type of shape is an absolute value function?

• Line

• V

• U

• Z

Which function is graphed?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

Which function is graphed?

• f(x) = 2|x - 5|

• f(x) = |x - 5|

• f(x) = |x - 5| + 5

• f(x) = |x| + 5

Which function is graphed?

• f(x) = -3|-x + 1| + 4

• f(x) = -|x - 1| + 4

• f(x) = -5|x + 1| + 4

• f(x) = -3|x - 4| + 1

Describe the transformation from the Absolute Value Parent Function.

• Stretches more narrow, shifts up 4 units

• Stretches more narrow, shifts down 4 units

• Compresses wider, shifts up 4 units

• Compresses wider, shifts down 4 units