Transformations of Rational functions

What are the asymptotes

• x=1, x= 2, y =1, y= 2
• x= 2, x=-2, y = 1
• x=2 y =-1
• x=1 y =2, y =-2

Tags

CCSS.HSF-IF.C.7D

Referring to f(x)=  $\frac{1}{x}$  how does f(x) =  $\frac{1}{x+3}$  translate?. 

• Shifts right 3

• Shifts up three

• Shifts left three

• Shifts down three

Tags

CCSS.HSF.BF.B.3

Referring to f(x)=  $\frac{1}{x}$  how does f(x) =  $\frac{1}{x}+3$  translate?

• Shifts right 3 units.

• Shifts up 3 units.

• Shifts left 3 units.

• Shifts down 3 units.

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  how does f(x) =   $\frac{1}{x-4}+1$ Translate. 

• Shifts left 4 units and up 1 unit.

• Shifts left 4 units and down 1 unit.
  

• Shifts right 4 units and up 1 unit.
  

• Shifts right 4 units and down 1 unit.

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  how does f(x) =  $\frac{1}{x+2}-5$  translate?

• Shifts left 2 units and up 5 units.

• Shifts right 2 units and up 5 units.
  

• Shifts right 2 units and down 5 units.

• Shifts left 2 units and down 5 units.

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  which function shifts right 10 units and down 4 units?

• F(x) =  $\frac{1}{x-10}-4$  

• F(x) =  $\frac{1}{x+10}+4$  

• F(x) =  $\frac{1}{x-4}+10$  

• F(x) =  $\frac{1}{x+4}-10$  

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  which function shifts up 3 units?

• F(x) =  $\frac{1}{x+3}$  

• F(x) =  $\frac{1}{x-3}$  

• F(x) =  $\frac{1}{x}+3$  

• F(x) = $\frac{1}{x}-3$  

Tags

CCSS.HSF.BF.B.3

Referring to f(x) =  $\frac{1}{x}$  which functions shifts left 6 units?

• F(x) =  $\frac{1}{x}-6$  

• F(x) = $\frac{1}{x\ -6}$  

• F(x) =  $\frac{1}{x}\ +6$  

• F(x) =  $\frac{1}{x+6}$  

Tags

CCSS.HSF.BF.B.3

What are the asymptotes?

• x=-3, y=1
• x=3, y =1
• x=-3, y =-1
• x=3 y=-1

Tags

CCSS.HSF-IF.C.7D

Which graph represents the function?

 $f\left(x\right)=\frac{1}{x-4}+3$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D