Equation of a parabola using its vertex and focus

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This wizard is used to find the equation of a parabola, given its vertex and focus.

 

It can be accessed by clicking on Wizard Button | Parabola | Equation of a parabola using its vertex and focus.

 

To find the equation of a parabola:

  • Enter the focus point: (x1, y1).
  • Enter the vertex point: either (x1, y2) or (x2, y1).
  • Click on the "Solve Step" button to see the next step or "Solve all" button to see all steps.

 

hint2 Note that either the x or y coordinate components of the focus and vertex points must be equal; otherwise the given points will not determine a vertical or horizontal parabola. Note also that the vertex and focus points must be different from each other.

 

hint2 If you need an explanation for any particular step, click on the step and then click on the "Explain" button.