Transformations of Square and Cube Root Functions

What is the domain of ALL cube root functions?

• (−∞,∞)

• [0,∞)

• (−∞,0]

• All cube root functions are different.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Which of the facts is NOT true about the graph shown?

• The range is y ∈ ℝ (all real numbers)

• The function has been shifted 6 units right

• The function has been shifted up 1 unit

• The function has been vertically stretched by a factor of 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

• The function has been shifted right 6

• It has been reflected over the x-axis

• The function has been shifted up 1 unit

• The function has been shifted up 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation of the function that is graphed?

• $f\left(x\right)=-\sqrt{x}$

• $f\left(x\right)=\sqrt{x-1}$
  

• $f\left(x\right)=-\sqrt{-x}$
  

• $f\left(x\right)=\sqrt{-x}$

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

Identify the transformations

• Down 2

• Up 2

• Left 2

• Reflection and down 2

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Describe the transformations.

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Select ALL transformations for the function

• Shift right 6

• Shift left 6

• Reflect over the x-axis

• Shift down 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which graph represents the function?

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Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which graph represents the function?

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• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7