2.1 Radical functions

Describe the transformation.

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

Which of these equations shifts a radical equation right 1 time and up 2 times?

• y = √(x + 1) - 2 
• y = √(x - 1) + 2
• y = √(x - 2) + 1
• y = √(x + 2) - 1

Match the correct equation with the given graph.

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

Solve for x.

• x = 12

• x = 4

• x = 6

• no solution

Solve for n.

• n = 25

• n = 5

• n = -25

• n = -5

If you square both sides of a radical equation and obtain a solution that does not satisfy the original equation, you have found what?

• n^th root

• radical equation

• extraneous solution

• radical function

Simplify.

• 3n²

• 9n⁶

• 18n⁶

• 9n³

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

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

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

Solve for x.

• x = 27

• x = 81

• x = -3

• x = 3