SOLUTION: Identify the type of curve and solve equation: y^2-2x+6y+5=0

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Question 652575: Identify the type of curve and solve equation: y^2-2x+6y+5=0
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

 y^2-2x+6y+5=0

 2x-5 =  y^2 + 6y

 2x-5 + 9 =  y^2 + 6y + 9   ||Adding 9 to both sides to complete the Square on the right side 

2x -5 + 9 =  (y+3)^2

 2x + 4 = (y+3)^2          ||Multiplying thru by 1/2

   +x+=+%281%2F2%29%28y%2B3%29%5E2+-+2  Parbola, V(-2,-3), line of symmetry y = -3

 vertex form of a Parabola opening right(a>0) or left(a<0), x=a%28y-k%29%5E2+%2Bh

 where(h,k) is the vertex and  y = k  is the Line of Symmetry