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

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) (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) (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

RELATED QUESTIONS
i must identify the conic. (x+2)^2/25 - (y-1)^2/9=1. i think its a hyperbola is this... (answered by Alan3354)
Directions: For each of the following conic sections identify whether it is a circle,... (answered by solver91311)
identify the conic defined by each equation. If it is a parabola, give its vertex, focus, (answered by solver91311)
What type of conic does this represent? r = 4/-2-cosθ A.) A Circle B.) A Ellipse... (answered by ikleyn)
What type of conic section does (x - 5) 2 + 4(y + 7) 2 = 100... (answered by solver91311)
What type of conic does this represent? r = 4/-2-cosθ or... (answered by rapture,ikleyn)
1)What conic does the equation y=x^2 represent? A) circle B) ellipse C) parabola (answered by richard1234)
what conic does the equation x^2/16+ y^2/4=1 represent? hyperbola,circle,parabola, or... (answered by ewatrrr)
Which type of conic section is represented by the equation: (x-3)^2 + (y+1)^2 = 9 A.... (answered by stanbon)