Graphing Square Roots and Cube Roots

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

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

What is the equation of the graph?

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

Which of these equations shifts a square root equation left 3 units?

• y = √(x) + 3

• y = √(x) - 3

• y = √(x + 3)

• y = √(x - 3)

What function best describes this graph?

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

Which of these equations shifts a square root equation right 5 units and down 1 unit?

• y = √(x - 5) - 1

• y = √(x + 5) - 1

• y = √(x - 5) + 1

• y = √(x + 5) + 1

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

Match the correct equation with the given graph.

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

Identify the Range

• (- ∞, -2 ]
• [ -2, ∞ )
• All Real Numbers
• [ 0, ∞)

What is the Domain of ALL Cube Root Functions?

• (−∞,∞)
• [0,∞)
• (−∞,0]
• All Cube Root Functions are different.