Transformations of a 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 by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

Which of these equations shifts a square root equation right 5 units and down one unit?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

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

Describe the transformation.

• Vertical Stretch by 3

• Vertical Shrink by 3

• Horizontal Shrink by 3

• Horizontal Stretch by 3

Tags

CCSS.HSF.BF.B.3

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 

Tags

CCSS.HSF.BF.B.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

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

What is the parent function of square root functions?

• f(x) = x

• f(x) = √x

• f(x) = -√x

• f(x) = x²

Which of these equations shifts a square root function left 3 units?

• y = √(x) + 3

• y = √(x) - 3

• y = √(x + 3)

• y = √(x - 3)

Tags

CCSS.HSF.BF.B.3