How this calculation works
Track the coordinates of a known point after a horizontal and vertical translation.
THE FORMULA
(x,y) → (x+h,y+k) for y=f(x−h)+kA worked example
Moving (2,7) right three and down four gives (5,3).
Good to know
The rule applies to translations of any function graph.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Track the coordinates of a known point after a horizontal and vertical translation.
The primary result is labeled “New x”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The rule applies to translations of any function graph.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Moving (2,7) right three and down four gives (5,3).
Which rule does this calculator apply?
(x,y) → (x+h,y+k) for y=f(x−h)+k