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