Transformation of Square Root and Cube Root

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

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

• 
• 
• 
• 

Describe the transformations.

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Describe the transformation.

• Vertical Stretch by 3

• Vertical Shrink by 3

• Horizontal Shrink by 3

• Horizontal Stretch by 3

Write the square root function that has the following transformations:

a) horizontal reflection over the y-axis

b) vertical shift up 2

c) vertical stretch by a factor of 3

(start your answer with y= )

Mathematical Equivalence

ON

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 of the following is the function shown in the graph?

• f(x)= -√(x+4) -2

• f(x)= √(x-4) -2

• f(x)= -√(x-4) -2

• f(x)= √(x+4) +2

Find the equation that matches this graph.

Describe the transformation.

• right 5

• left 5

• up 5

• down 5