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Related:
- Equation of Ellipse
- Major Axis of Ellipse
- Minor Axis of Ellipse
- Vertices
- Co-vetices
- focus of an ellipse
- Is a circle an ellipse?
- Eccentricty of Ellipse
- area of an ellipse
- Orbits of Planets as ellipses
- Translate ellipse
- images
- Worksheet Version of this Web page (same questions on a worksheet)
Below is the general from for the translation(h,k) of an ellipse with a vertical major axis.
![Formula for Translation of ellipse](images/translations/formula_for_equations.gif)
![](images/translations/general_formula_major.gif)
Compare the two ellipses below, the the ellipse on the left is centered at the origin, and the righthand ellipse has been translated to the right.
![](images/translations/origin_1.gif)
![example of translation of ellipse](images/translations/origin_1A.gif)
Practice Problems: Translating Ellipse
Horizontal Translations
![](images/translations/translation_2_0.gif)
![](images/translations/translation_3_0.gif)
![](images/translations/translation_4_0.gif)
Vertical Translations
![vertical translation of ellipse](images/translations/translation_0_1.gif)
![vertical translation of ellipse by 2](images/translations/translation_0_2.gif)
![vertical translation of ellipse by 3](images/translations/translation_0_3.gif)
Vertical and Horizontal Translations
![vertical translation of ellipse by 3](images/translations/translation_1_2.gif)
![](images/translations/translation_2_3.gif)