18.1 - Square Root Functions

10.1 - Square Root Functions

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Multiple Choice

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

Multiple Choice

What is the parent function of square root functions?

• f(x) = x
• f(x) = √x
• f(x) = -√x
• f(x) = x²

What does the number in front of the square root do to the function?

Multiple Choice

Describe the transformation.

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

Multiple Choice

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 

Multiple Choice

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

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Multiple Choice

What is the domain of this function?

 $y=\sqrt{x-2}+4$  

• {x ∣ x ≥ 4}

• {x ∣ x ≥ -2}

• {x ∣ x ≤ 2}

• {x ∣ x ≥ 2}

Multiple Choice

What is the range of this function?

 $y=\sqrt{x-1}-3$  

• {y ∣ y ≥ 1}

• {y ∣ y ≥ -1}

• {y∣ y ≥ -3}

• {y ∣ y ≤ -3}

Multiple Choice

What is the domain of this function?

 $y=\sqrt{x-1}-3$  

• {x ∣ x ≥ 1}

• {x ∣ x ≤ 1}

• {x ∣ x ≥ -3}

• {x ∣ x ≥ -1}

Multiple Choice

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]
• Domain: [1, ∞)  Range: (-∞, 4]
• Domain: [-1. ∞) Range: [4, ∞) 
• Domain: [4, ∞) Range: [-1,∞) 

Multiple Choice

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

Multiple Choice

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

Multiple Choice

Match the correct equation with the given graph.

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

Which of these equations shifts a radical equation right 5 units and down one unit?

• $y=\sqrt{x-5}-1$

• $y=\sqrt{x+5}-1$

• $y=\sqrt{x-5}+1$

• $y=\sqrt{x+5}+1$

Multiple Choice

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

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2

Multiple Choice

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

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch by 2, and shifted right 5

• Reflected over the x-axis, vertical stretch by 2, and shifted left 5

• Shifted right 5, shifted down 2