SOLUTION: I need to know how to write an equation for an ellipse with the given information. Don't just give me the answer, I want to learn it please. :) endpoints of major axis (0,6) and

Algebra ->  Rational-functions -> SOLUTION: I need to know how to write an equation for an ellipse with the given information. Don't just give me the answer, I want to learn it please. :) endpoints of major axis (0,6) and      Log On


   

Question 309228: I need to know how to write an equation for an ellipse with the given information. Don't just give me the answer, I want to learn it please. :)
endpoints of major axis (0,6) and (0,-6) endpoints of minor axis (-3,0) (3,0)
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
a general equation for an ellipse is ___ {[(x-h)^2] / b^2} + {[(y-k)^2] / a^2} = 1

the ellipse is centered at (h, k) ___ the center is where the two axes meet
___ b is the semiminor axis (half of the minor axis)
___ a is the semimajor axis (half of the major axis)

in this case ___ h=0 , k=0 , b=3 , a=6

[(x^2) / 9] + [(y^2) / 36] = 1