Radical Functions

What is the domain of this function?

 $y=\sqrt{x-1}-3$  

• {x ∣ x ≥ 1}

• {x ∣ x ≤ 1}

• {x ∣ x ≥ -3}

• {x ∣ x ≥ -1}

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

 $y=\sqrt{x+2}$  

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

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 function best describes this graph?

• $y=-\sqrt{x+4}-2$

• $y=\sqrt{x-4}-2$

• $y=-\sqrt{x-4}-2$

• $y=\sqrt{x+4}+2$

Tags

CCSS.HSF-IF.C.7B

Simplify the radical expression:
 $\sqrt{128a^3b^4}$  

•  $8ab^2\sqrt{2a}$  

•  $2a\sqrt{8ab^2}$  

•  $2ab\sqrt{64ab}$  

•  $64ab^2\sqrt{2a}$  

Simplify the radical expression:
$\sqrt{27m^7p^{4\ }}$

• $3m\sqrt{3m^3p^2}$

• $3m^3p^2\sqrt{3m}$

• $9mp\sqrt{3m}$

• $9m^3p^2\sqrt{3m}$

Tags

CCSS.HSN.RN.A.2

Simplify the radical expression:
$2\sqrt{48}$

• $4\sqrt{3}$

• $8\sqrt{3}$

• $2\sqrt{3}$

• $3\sqrt{8}$

• A
• B
• C
• D

Tags

CCSS.HSN.RN.A.2

 $\frac{\sqrt{5x^4}}{\sqrt{2x^2y^3}}$  Rationalize the denominator of the expression. Assume that all variables are positive.

•  $\frac{\sqrt{10y}}{2y^2}$  

•  $\frac{x^2\sqrt{10y}}{2y^2}$  

•  $\frac{x\sqrt{10y}}{y^2}$  

•  $\frac{x\sqrt{10y}}{2y^2}$  

Tags

CCSS.HSN.RN.A.2