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Translate ellipse's equation and Graph

Ellipse not centered at origin

Below is the general from for the translation(h,k) of an ellipse with a vertical major axis.
Formula for Translation of ellipse
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.
example of translation of ellipse

Practice Problems: Translating Ellipse





Horizontal Translations



Can you graph the translation of the ellipse represented by the following standard form equation
equation of ellipse translation
Answer
Can you graph the translation of the ellipse represented by the following standard form equation
equation of ellipse translation
Answer
Can you graph the translation of the ellipse represented by the following standard form equation
equation of ellipse translation
Answer


Vertical Translations


Below is the equation of an ellipse under a vertical translation. Can you graph this equation?
equation of ellipse translation
Answer
Below is the equation of an ellipse under a vertical translation. Can you graph this equation?
equation of ellipse translation
Answer
Below is the equation of an ellipse under a vertical translation. Can you graph this equation?
equation of ellipse translation
Answer


Vertical and Horizontal Translations


Below is the equation of an ellipse under a vertical translation. Can you graph this equation?
equation of ellipse translation
Answer
Below is the equation of an ellipse under a vertical translation. Can you graph this equation?
equation of ellipse translation
Answer

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