Transformations

Name the parent function.

• cube root

• quadratic

• cubic

• square root

• linear

What is the domain of the function in this graph?

• x ≤ 3
• x ≥ 3
• x ≤ 0
• x ≥ 0

What is the range of this graph?

• y ≥ -1

• y ≤ -1

• y ≥ 0

• y ≤ 0

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

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

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

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

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 
• Shifted right 2 units and down 5 units 
• Vertical stretch by a factor of 2; translated left 5 units
• Vertical stretch by a factor of 2; translated right one unit 

Which is an equation that shifts the graph of the function above to the left 5 units?

• 
• 
• 
• 

Which of these equations shifts a radical equation left 3 times?

• y = √(x) + 3
• y = √(x) - 3
• y = √(x + 3)
• y = √(x - 3)

Which of the following is the function shown in the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x + 3)
• y = √(x) - 3