graphing square root functions

 $f\left(x\right)=\sqrt{x}-4$  

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CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.11

 $y=\sqrt{x}+2$  

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CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 $y=\sqrt{x-1}-3$  

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CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

 $y=\sqrt{x+5}$  

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CCSS.HSA.REI.A.2

CCSS.HSA.REI.D.10

Identify the domain and range of  $y\ =\sqrt{x-1}$  .

• Domain:  $x\ge1$  
  Range:  $y\ge0$  

• Domain: {All real numbers}
  Range:  {All real numbers}

• Domain:   $x\ge0$  
  Range:   $y\ge-1$  

• Domain:   $x\le0$  
  Range:   $y\ge1$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Identify the domain and range of  $y\ =\sqrt{x+1}-2$  .

• Domain:  $x\ge2$  
  Range:  $y\ge1$  

• Domain: {All real numbers}
  Range:  {All real numbers}

• Domain:   $x\ge1$  
  Range:   $y\ge2$  

• Domain:   $x\ge-1$  
  Range:   $y\ge-2$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Identify the domain and range of  $y\ =\sqrt{x+2}$  .

• Domain:  $x\ge-2$  
  Range:  $y\ge0$  

• Domain: {All real numbers}
  Range:  {All real numbers}

• Domain:   $x\ge2$  
  Range:   $y\ge0$  

• Domain:   $x\le0$  
  Range:   $y\ge-2$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Identify the domain and range of  $y\ =\sqrt{x}+5$  .

• Domain:  $x\le5$  
  Range:  $y\ge0$  

• Domain:  $x\ge0$  
  Range:   $y\ge-5$  

• Domain:   $x\ge0$  
  Range:   $y\ge-1$  

• Domain:   $x\ge0$  
  Range:   $y\ge5$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

Identify the domain and range of  $y\ =\sqrt{x-3}-4$  .

• Domain:  $x\ge3$  
  Range:  $y\ge4$  

• Domain:  $x\ge-3$  
  Range:   $y\le-4$  

• Domain:   $x\ge-3$  
  Range:   $y\ge-4$  

• Domain:   $x\ge3$  
  Range:   $y\ge-4$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Find any y-intercept(s).

 $y=-\sqrt{x+9}-6$   

• none

•  (0, 3)

•  (0,9)

•  (0,-9)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7