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Question 592609: write the equation of the parabola in standard form x^2 + 2x + 8y + 25 = 0
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write the equation of the parabola in standard form
x^2 + 2x + 8y + 25 = 0
Standard form of equation for a parabola: y=A(x-h)^2+k, (h,k)=(x,y) coordinates of the vertex.
complete the square:
-8y=(x^2+2x+1)+25-1
-8y=(x+1)^2+24
divide by -8
y=-(1/8)(x+1)^2-3
This is an equation of a parabola that opens downwards with vertex at (-1,-3)
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