Rational Function Graphs

Desmos File: Parent function 
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  • this is the parent function of rational functions
  • x = 0 is the vertical asymptote of this function
  • y = 0  is the horizontal asymptote of this function
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Desmos File: 
​y = (a/x)
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  • this is a vertical dilation of the parent rational function
  • x = 0 is the vertical asymptote of this function
  • y = 0  is the horizontal asymptote of this function

Desmos File:
y= 1/(bx)
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  • ​this is a horizontal dilation of the parent rational function
  • x = 0 is the vertical asymptote of this function
  • y = 0  is the horizontal asymptote of this function

Desmos File:
y= 1/ (x+c)
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  • ​this is a horizontal shift of the parent rational function
  • x = -c is the vertical asymptote of this function
  • y = 0  is the horizontal asymptote of this function

Desmos File:
y= (1/x)+d
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  • this is a vertical shift of the parent rational function
  • x = 0 is the vertical asymptote of this function
  • y = d  is the horizontal asymptote of this function