REG TEST (O) - SQUARE ROOT FUNCTIONS & INEQ

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

Tags

CCSS.HSF.BF.B.3

What is the domain of this function?

 $y=\sqrt{x-1}-3$  

• x ≥ 1

•  x ≤ 1

• x ≥ -3

• x ≥ -1

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

• $y=\sqrt{x-5}-1$

• $y=\sqrt{x+5}-1$

• $y=\sqrt{x-5}+1$

• $y=\sqrt{x+5}+1$

Tags

CCSS.HSF-IF.C.7B

 What are the transformations for the graph of  $y=2\sqrt{x}-5$  compared to the the parent function ( $y=\sqrt{x}$ ).

• 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 

Tags

CCSS.HSF.BF.B.3

What is the equation of the graph?

• $y=\sqrt{x+3}$

• $y=-\sqrt{x+3}$

• $y=-\sqrt{x}+3$

• $y=\sqrt{x}+3$

Tags

CCSS.HSF-IF.C.7B

Match the correct equation with the given graph.

• $y=\sqrt{x}+2$

• $y=\sqrt{x}-2$

• $y=\sqrt{x+2}$

• $y=\sqrt{x-2}$

Tags

CCSS.HSF-IF.C.7B

Describe the transformations of the equation $y=-3\sqrt{x-2}+1$ 

Note: stretch means to grow and compress means to flatten

• reflects over x-axis, vertical stretch by 3, right 2, up 1

• reflects over x-axis, vertical compression by -3, left 2, up 1

• reflects over y-axis, vertical stretch by -3, left 2, up 1

• reflects over vertical line, vertical compression by 1/3, right 2, up 1

Tags

CCSS.HSF.BF.B.3

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,∞) 

graph this inequality 

 $y\ \ge\sqrt{x-3}+4$  which of the following points lie inside the shaded region? choose all that apply

• (1,4)

• (5,7)

• (8,8)

• (3,3)

Tags

CCSS.8.EE.A.2

• A

• B

• C

• D

Tags

CCSS.HSA.REI.D.12