Algebra II: 5.3 Radical Transformations

Name the parent function.

• cube root
• quadratic
• cubic
• square root

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which of these is not a point on the parent function, y = √x ?

• (0,0)
• (2,4)
• (4,2)
• (1,1)

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Domain is: 

• All x values, from left to right.
• All y values, from bottom to top.
• All x values from bottom to top. 
• All y values from left to right.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Range is:

• All x values, from left to right.
• All y values, from left to right. 
• All y values, from bottom to top.
• All x values, from bottom to top.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

Which of these equations shifts a radical equation left 3 times?

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

Tags

CCSS.HSF-IF.C.7B

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

Tags

CCSS.HSF.BF.B.3

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

• y = √(x - 5) - 1
• y = √(x + 5) - 1
• y = √(x - 5) + 1
• y = √(x + 5) + 1

Tags

CCSS.HSF-IF.C.7B

List the translations or reflections of this function.
f(x)= -√x  -2

• Reflection, Left 2
• Reflections, Up 2
• Reflection, Right 2
• Reflection, Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which of the following is the function shown in the graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

Tags

CCSS.HSF-IF.C.7B

Which of the following is the function shown in the graph?

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7