Radical Functions Solving and Graphing

Describe the transformation.

• Vertical Stretch by 2

• Vertical Shrink by ⅓

• Horizontal Shrink by ⅓

• Horizontal Stretch by 3

Describe the transformation

• Left 4 units, up 1 unit

• Right 4 units, up 1 unit

• Left 4 units, down 1 unit

• Right 4 units, down 1 unit

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 + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

Which graph is f(x) = - (x+2)^1/3 +6?

• Graph 1

• Graph 2

• Graph 3

• Graph 4

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

Which function matches the graph?

• f(x) = √(x - 1) + 3

• f(x) = − √(x + 1) + 3

• f(x) = √(-x + 1) + 3

• f(x) = − √(x + 3) − 1

Which function matches the graph?

• f(x) = − ∛(x + 3) − 1

• f(x) = − ∛(x - 3) − 1

• f(x) = ∛(x + 3) − 1

• f(x) = ∛(x - 1) + 3

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2