Square Root/Cube Root Functions

What is the parent function of the graph? 

• y = x²

• y = 2√x

• y = √x

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 

• Shifted right 2 units and down 5 units 

• Vertical stretch by a factor of 2; translated left 5 units

• Vertical stretch by a factor of 2; translated right one unit 

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

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Create a square root function with the following characteristics using the following graph: 

• y = .5√(x + 1) - 2

• y = 2√(x - 1) + 2

• y = .5√(x - 1) - 2

• y = √(x + 1) - 2 

What is the Domain of ALL Cube Root Functions?

• (−∞,∞)

• [0,∞)

• (−∞,0]

• All Cube Root Functions are different.

If f(x) = ∛(x) is reflected over the x-axis, vertically compressed by a factor of 1/4, and shifted left 9, which equation is correct?

• 1/4 ∛(x + 9)

• 1/4 ∛(x - 9)

• - 1/4 ∛(x + 9)

• - 1/4 ∛(x - 9)

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 + 1)

• y = √(x + 1)

• y = - √(x) - 1

• y = - √(x) + 1

Which of the following is the function shown in the graph?

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What kind of function is represented by the graph?

• Cube Root Function

• Cubic Function

• Polynomial Function

• Square Root Function