Cube and Square Root Transformations

Which is the graph of the square root parent function?

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

What is the domain of this function?
f(x) = √(x-2) + 4

• [2,∞)
• (-∞,2]
• (∞,2]
• [4,∞)

What is the range of this function?
f(x) = √(x-2) + 4

• (-∞,4]
• (-∞,2]
• (∞,4]
• [4,∞)

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Describe the transformation:
y = -√x

• Translate Down 1
• Translate Right 1
• Reflection over the x-axis
• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF-BF.B.4B

Name the parent function.

• linear
• quadratic
• cube root
• cubic

Describe the transformations of the graph shown. 

• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units left. 
• Shifted down 4 units, horizontal compression by a factor of 3, and shifted 6 units left. 
• Shifted down 4 units, vertically compressed by a factor of 3, and shifted 6 units right. 
• none of the above.

Tags

CCSS.HSF.BF.B.3

What is the domain and range of a cube root function?

• x ≥ 0 and y ≥ 0

• x ≤ 0 and y ≤ 0

• x = All real numbers and y = All real numbers

• All of the above