SOLUTION: Find an equation of the ellipse with x-intercepts +/- 3 and y-intercepts +/- sqrt3 THANKS!

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: Find an equation of the ellipse with x-intercepts +/- 3 and y-intercepts +/- sqrt3 THANKS!      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 181827: Find an equation of the ellipse with x-intercepts +/- 3 and y-intercepts +/- sqrt3
THANKS!
Answer by josmiceli(6799) About Me  (Show Source):
You can put this solution on YOUR website!
The x-axis is the major axis since 3+%3E+sqrt%283%29
The general form is:
%28x%5E2%29%2F%28a%5E2%29+%2B+%28y%5E2%29%2F%28b%5E2%29+=+1
Where the x-intercepts are at +/- a
and the y-intercepts are at +/- b
given:
x-intercepts +/- 3
y-intercepts +/- sqrt%283%29
a+=+3 and -a+=+-3
b+=+sqrt%283%29 and -b+=+-sqrt%283%29
a%5E2+=+9
b%5E2+=+3
The equation is:
%28x%5E2%29%2F9+%2B+%28y%5E2%29%2F3+=+1
+graph%28+500%2C+500%2C+-4%2C4%2C-4%2C4%2C+sqrt%283+-+%28%28x%5E2%29%2F3%29%29%2C+-sqrt%283+-+%28%28x%5E2%29%2F3%29%29%29+