Ellipse (I think) help

ajlm said:
Hi there,

I was given this in general form: 9x^2 + 36x + y^2 -6y = -36

and I came up with an answer that is an ellipse, with a^2 being 1. Am I in the right direction? My study-buddy says I may be off.

You are right.

(3x)^2 + 2*3x*6 + 36 + y^2 -2*y*3 + 9 = -36 + 36 + 9

[(x+2)/1]^2 + [(y-3)/3]^2 = 1
 
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