conic section question

[gopher]

any one know what type of conic section is this?

\(\displaystyle ((x-1)^2/4)+((y-2)/4)=1\) ???

 

[pka]

Solve the equation for y. See if you can tell which conic it is.

 

[stapel]

Here's the flow-chart:

. . .* Are there two squared terms?
. . . . .No: It's a parabola.
. . . . .Yes: Continue...

. . . . .* Do the two squared terms have the same sign?
. . . . . . .No: It's an hyperbola.
. . . . . . .Yes: Continue...

. . . . . . .* Do the squared terms have the same coefficient?
. . . . . . . . .No: It's an ellipse.
. . . . . . . . .Yes: It's a circle.

Apply this to your equation.

Eliz.