Hi



Standard Form of an Equation of an Ellipse is 

where Pt(h,k) is the center and a and b  are the respective vertices distances from center.

 4x^2 + 8x + y^2 + 2y + 1 = 0  

4(x+1)^2 -4 + (y+1)^2 -1 +1 = 0

4(x+1)^2 + (y+1)^2 = 4

  sqrt(4-1) = sqrt(3) = 1.732

 Center (-1,-1) foci (-1, -2.732) and (-1,.732)



 

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