Graphing Rational Functions

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

• Translate right 3

• Translate up three

• Translate left three

• Translate down three

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

• Translate right 3 units.

• Translate up 3 units.

• Translate left 3 units.

• Translate down 3 units.

Referring to f(x) =  $\frac{1}{x}$  which function translates down 6 units?

• F(x) = $\frac{1}{x-6}$  

• F(x) = $\frac{1}{x}-6$  

• F(x) = $\frac{1}{x+6}$  

• F(x) = $\frac{1}{x}+6$  

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

• Translates left 4 units and up 1 unit.

• Translates left 4 units and down 1 unit.
  

• Translates right 4 units and up 1 unit.
  

• Translates right 4 units and down 1 unit.

How is this function transformed from the parent function f(x) = 1/x?

• Translated left and up

• Translated right and up

• Translated left and down

• Translated right and down

Describe the transformations from the parent function, f(x) = 1/x.

• Translate left 9 units, shift up 2 units

• Translate right 9 units, shift up 2 units

• Translate right 9 units, shift down 2 units

• Translate right 2 units, shift down 9 units

How is this function transformed from the parent function f(x) = 1/x?

• Reflected over the x-axis

  Translated up by 2 units

• Reflected over the y-axis

  Translated down by 2 units

• Reflected over the y-axis

  Translated up by 2 units

• Reflected over the x-axis

  Translated left by 2 units

Which is the graph of the rational equation?

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Which of the following represents the graph?

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Which asymptote(s) are determined by looking at the denominator?

• vertical
• horizontal
• end behavior
• none