How this calculation works
Locate the asymptotes of a translated and scaled reciprocal graph.
THE FORMULA
For a/(x−h)+k, the asymptotes are x=h and y=k when a≠0A worked example
3/(x−2)−4 has asymptotes x=2 and y=−4.
Good to know
A nonzero numerator scale is required.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Locate the asymptotes of a translated and scaled reciprocal graph.
The primary result is labeled “Vertical asymptote”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
A nonzero numerator scale is required.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
3/(x−2)−4 has asymptotes x=2 and y=−4.
Which rule does this calculator apply?
For a/(x−h)+k, the asymptotes are x=h and y=k when a≠0