graphs of square root functions and transformation

What type of function is shown?

• quadratic

• square root

• linear

• exponential

What is the parent function of the graph? 

• y = x²
• y = 2√x
• y = √x

Tags

CCSS.HSF-IF.C.7B

Which is the graph of the square root parent function?

• A
• B
• C
• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain for:

g(x) = √(x + 5) - 3

• A

  x ≥-3

• B

  x ≤ -3

• C

  x ≥-5

• D

  x ≤ -5

What is the Range for the graph?

• y ≥ -4

• y ≤ -2

• y ≥ -2

• y ≤ -4

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

• translated down 2 units

• translated up 2 units

• translated left 2 units

• translated right 2 units

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

What is the equation of the graph?

• y = -√(x + 5)
• y = √(x) - 2
• y = √(x - 3)
• y = √(x) + 3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation.

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

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

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

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

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

Which of the following graphs represent the equation shown?

• A

• B

• C

• D