Transformations of Radical Functions

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

• Translated down 2

• Translated up 2

• Translated left 2

• Translated right 2

Tags

CCSS.HSF.BF.B.3

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

• Translated right 5, translated down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch 2, and translated right 5

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

• Translated right 5, translated down 2

Tags

CCSS.HSF.BF.B.3

Describe the transformation.

• Left 1 unit, Reflect over x-axis, Up 2 units

• Left 1 unit, Reflect over y-axis, Down 2 units

• Right 1 unit, Reflect over x-axis, Up 2 units

• Right 1 unit, Reflect over y-axis, Up 2 units

Tags

CCSS.HSF.BF.B.3

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

• $f\left(x\right)=\sqrt{x-5}-1$
  

• $f\left(x\right)=\sqrt{x+5}-1$
  

• $f\left(x\right)=\sqrt{x-5}+1$
  

• $f\left(x\right)=\sqrt{x+5}+1$
  

Tags

CCSS.HSF.BF.B.3

Create a square root function that is vertically compressed by 1/2 and shifted 3 units left.

• $y=\frac{1}{2}\sqrt{x+3}$

• $y=2\sqrt{x+3}$
  

• $y=\frac{1}{2}\sqrt{x-3}$
  

• $y=2\sqrt{x-3}$
  

Tags

CCSS.HSF-IF.C.7B

Which function below is a radical function that has been reflected over the x-axis, vertically stretched by 5, and shifted down 4 units.

• $g\left(x\right)=-\frac{1}{5}\sqrt{x-4}$

• $g\left(x\right)=5\sqrt{-x+4}$

• $g\left(x\right)=-5\sqrt{x}-4$

• $g\left(x\right)=5\sqrt{-x}-4$

Tags

CCSS.HSF.BF.B.3

Challenge: Which of the following maps g(x) back onto the parent function, f(x)? {Undo the transformations of g(x).}

• Reflection over x-axis, left 2.5, up 3

• Reflection over x-axis, right 2.5, down 3

• Reflection over y-axis, left 2.5, down 3

• Reflection over y-axis, right 2.5, up 3

Tags

CCSS.HSF.BF.B.3

Challenge: Which translations will map  $f\left(x\right)=\sqrt{x+7}-1$  onto a new square root function with end point (1, 3)?

• Horizontal shift left 6 and vertical shift up 4

• Horizontal shift right 8 and vertical shift up 4

• Vertical compression and vertical shift down 4

• Horizontal shift left 6 and vertical shift down 4

Tags

CCSS.HSF.BF.B.3