Practice Square Root Transformations and Characteristics

• Quadratic Function

• Function

• Quadratic Function

• Principal Square Root Function

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

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

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph?

• y = √(x - 3)

• y = √(x) + 3

• y = √(x - 5) + 4

• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

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

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7B

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

Tags

CCSS.HSF-IF.C.7B

Let f(x)=√(x) and g(x)= -3√(x-2)+1. Describe g(x) in terms of f(x):

• reflects over x axis, vertical stretch by 3, right 2, up 1

• reflects over y axis, vertical compression by -3, left 2, up 1

• reflects over x axis, vertical stretch by -3, left 2, up 1

• reflects over y axis, vertical compression by 1/3, right 2, up 1

Tags

CCSS.HSF.BF.B.3

Which equation is shown graphed?

• y = −√(x + 1) + 4

• y = −√(x − 1) + 4

• y = √(x − 1) + 4

• y = √(x + 1) + 4

Tags

CCSS.HSF-IF.C.7B

What are the transformations to the graph compared to the parent function?

• Shifted right 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the y-axis

• Shifted left 2, shifted up 3, and reflected over the x-axis

• Shifted right 2, shifted up 3, and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

f(x) = -√(x) - 2

• Reflect over x-axis
  Down 2

• Reflect over y-axis
  Up 2

• Reflect over x-axis
  Up 2

• Reflect over y-axis
  Down 2

Tags

CCSS.HSF.BF.B.3