Rational Transformations

What is the parent function of a rational function?

• Y=X²
• Y=X
• 1 / X
• Y=X / 1

Which of the following is undefined?

• $0$

• $\frac{0}{4}$

• $-0$

• $\frac{6}{0}$

Tags

CCSS.HSA.APR.D.7

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 down 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

Identify the horizontal and the vertical asymptotes of the function shown in the graph.

• horizontal asymptote: y = -3; vertical asymptote: x = -4
• horizontal asymptote: x = 3; vertical asymptote: y = -4
• horizontal asymptote: y = -3; vertical asymptote: x = 4
• horizontal asymptote: x = -3; vertical asymptote: y = 4

Tags

CCSS.HSF-IF.C.7D

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