Transform Radical Functions

What is the domain of the function?

• All real numbers

What is the range of the function shown?

• All real numbers

• reflect across y-axis; left 1 unit; up 1 unit

• reflect across x-axis; left 1 unit; down 1 unit

• reflect across y-axis; right 1 unit; down 1 unit

• reflect across x-axis; left 1 unit; up 1 unit 

• A
• B
• C
• D

What are the transformations of this functions compared to the parent function?

• Translated down 2

• Translated up 2

• Translated left 2

• Translated right 2

• A
• B
• C
• D

• A
• B
• C
• D

Describe the transformation.

• Left 1unit, Reflect over x-axis, up 2 units

• Left 1unit, Reflect over y-axis, down 2 units

• Right 1 unit, Reflect over x-axis, up 2 units

• Right 1unit, Reflect over y-axis, up 2 units

Describe the transformations.

• Horizontal Shift Right 2, Vertical Shift Down 4

• Horizontal Shift Left 2, Vertical Shift Down 4

• Horizontal Shift Left 2, Vertical Shift Up 4

• Horizontal Shift Right 2, Vertical Shift Up 4

What is the equation that represents the radical function below? Use your knowledge of transformations within radical functions to select the correct equation for the graph.