SOLUTION: one major axis vertex is located at (-9,2). find the other major axis vertex of the ellipse defined by this equation: (x+9)^2/4+(y+4)^2/36=1

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: one major axis vertex is located at (-9,2). find the other major axis vertex of the ellipse defined by this equation: (x+9)^2/4+(y+4)^2/36=1      Log On


   

Question 1082272: one major axis vertex is located at (-9,2). find the other major axis vertex of the ellipse defined by this equation: (x+9)^2/4+(y+4)^2/36=1
Answer by ikleyn(52810) About Me  (Show Source):
You can put this solution on YOUR website!
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The center of the ellipse is at (-9,-4).

The major semi-axis is of 6 units long. It is VERTICAL.
The minor semi-axes is of 2 units long. It is HORIZONTAL.

One vertex is        (-9,-4-6) = (-9,-10).
Another vertex is at (-9,-4+6) = (-9,2).



    For your info and education: There is NO such term "major axis vertex".


    There is "major axis" and there is "vertex of an ellipse" as self-standing and separate items/conceptions.

    But there is NO such term as "major axis vertex".


See the lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".