SOLUTION: X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.       Log On


   



Question 600327: X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.
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Parabola:
y = -x^2+x+2
x^2-x = -y+2
x^2-x++(1/4) = -y+(9/4)
(x-(1/2))^2 = -(y-(9/4))
Vertex at ((1/2),(9/4))
4p = -1
p = -1/4
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Focus: (1/2),[(9/4)-(1/4)] = ((1/2),2)
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+=+-x%5E2%2Bx%2B2%29
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Cheers,
Stan H.