Graphs and Characteristics of Radical Functions

• A
• B
• C
• D

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

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

Describe the transformation.

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

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

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

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

What is the domain of the graph of the radical function?

• (-infinity, infinity)
• (-7, infinity)
• (0, infinity)
• (4, infinity)

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, ∞)

Match the correct equation with the given graph.

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