Parent Functions and Transformations

Find the domain of the given parent function: y = x

• x > 0

• x < 0

• All real numbers

What is the range of the given parent function: y = x²

• y > 0

• y < 0

• All real numbers

Find the range of the given parent function: y = |x|

• y > 0

• y < 0

• All real numbers

Identify the function family

• Quadratic

• Absolute value

• Constant

• Linear

Find the domain of the given graph

• x > 1

• x < 1

• All real numbers

Identify the function family

• Quadratic

• Absolute value

• Linear

• Constant

Describe the transformation from the parent function (red) to the transformed function (blue).

• Reflection

• Vertical stretch/shrink

• Translation

Describe the transformation from the parent function (red) to the transformed function (blue)

• Reflection

• Vertical stretch/shrink

• Translation

Find the domain of the transformed function (blue)

• y > 0

• y < 0

• All real numbers

Find the range of the transformed function (blue).

• y > 0

• y < 0

• All real numbers