Transformations of Square Root Functions

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

 $f\left(x\right)\ =\sqrt{x+2}$  

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

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

 $f\left(x\right)\ =\ -2\sqrt{x-5}$  

• 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 the following is the function shown in the graph?

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

State the transformations:

 $f\left(x\right)\ =\ -3\sqrt{x-2}+1$  

• 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

Describe the transformation:

 $f\left(x\right)\ =\ -\sqrt{x}$  

• Down 1

• Reflect over y-axis

• Up 1

• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Find the domain and range of the function
Hint: use the calculator to see the graph

 $f\left(x\right)\ =\ -\sqrt{x-1}+4$  

• Domain: (-∞, ∞) Range: [-∞, 4]

• Domain: [1, ∞) Range: (-∞, 4]

• Domain: [-1. ∞) Range: [4, ∞) 

• Domain: [4, ∞) Range: [-1,∞) 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the DOMAIN of the function?

 $f\left(x\right)\ =\ \sqrt{x+3}$  

•  $\left[-3,\ \infty\right)$  
  

•  $\left[0,\ \infty\right)$  
  

•  $\left[3,\ \infty\right)$  
  

•  $\left(-\infty,\ 0\right]$  
  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

What is the domain of the function in this graph?

• (-infinity, 3]

• [3, inifinity)

• (-infinity, 0]

• [0, infinity)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Describe the transformation:

 $f\left(x\right)\ =\ 2\sqrt{x}$  

• Vertical Compression by 2

• Vertical Stretch by 2

• Vertical Compression by 1/2

• Horizontal Stretch by 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformations:

 $f\left(x\right)\ =\ \sqrt{x+2}-4$  

• Translate Right 2, Down 4

• Translate Left 2, Down 4

• Translate Left 2, Up 4

• Translate Right 2, Up 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5