Radical Transformations and Radical Equations

Describe the transformation.

• Left 1, Reflect over x-axis, up 2

• Left 1, Reflect over y-axis, down 2

• Right 1, Reflect over x-axis, up 2

• Right 1, Reflect over y-axis, uo 2

What transformations of the parent function, f(x) = √(x), is the function g(x) = 2√(x + 5)?

• Vertical stretch and a horizontal shift left 5

• Vertical stretch and a horizontal shift right 5

• Vertical compression and a horizontal shift left 5

• Vertical stretch and a vertical shift up 5

• A
• B
• C
• D

• 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 - 3)

• y = √(x) + 3

• y = √(x + 3)

• y = √(x) - 3

Match the correct equation with the given graph.

• y = - √(x + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

What is the range of this graph?

• y ≥ -1

• y ≤ -1

• y ≥ 0

• y ≤ 0

What is the domain of this graph?

• x ≥ -1

• x ≤ -1

• x ≥ 0

• x ≤ 0