Radical Functions Characteristics and Transformation

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

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

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

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

Describe the transformation.

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

Which of these equations shifts a radical equation right 5 times and down once?

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

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 

What is the parent function of the graph? 

• y = x²
• y = 2√x
• y = √x

Describe the transformation.

• Right 10
• Up 10
• Down 10
• Left 10

Describe the transformation.

• Vertical Stretch by 2

• Vertical Compression by ⅓

• Vertical Stretch by 3

• Vertical Stretch by 1/3

What function best describes this graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

Which is the graph of the square root parent function?

• A
• B
• C
• D