SOLUTION: what type of conic does this represent (x-3)^2/9 + (y-2)^2/4=1. i think its a hyperbola but im not sure

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Question 282004: what type of conic does this represent (x-3)^2/9 + (y-2)^2/4=1. i think its a hyperbola but im not sure
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's an ellipse. The sum of x^2 and y^2 terms --> ellipse.
If it's the difference, it's a hyperbola.
(x-3)^2/9 + (y-2)^2/4=1 ellipse
(x-3)^2/9 - (y-2)^2/4=1 hyperbola

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

If there is both a term and an term, then it is NOT a parabola.

If the sign on the term is DIFFERENT than the sign on the term, then you have a hyperbola,

Otherwise, you have a circle or an ellipse. If the coefficient on the term is equal to the coefficient on the term, then it is a circle.

You have an ellipse.

John