SOLUTION: What type of conic section is the following equation? 4x2 + 4(y2 - 4) = 0

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Question 146967: What type of conic section is the following equation?
4x2 + 4(y2 - 4) = 0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4x%5E2%2B4%28y%5E2-4%29=0
You can expand the equation and it may be clearer.
4x%5E2%2B4y%5E2-16=0
4x%5E2%2B4y%5E2=16
x%5E2%2By%5E2=4
The general form of the circle centered at (h,k) with a radius of R is
%28x-h%29%5E2%2B%28y-k%29%5E2=R%5E2
Your equation is for a circle centered at (0,0) with a radius of 2.