SOLUTION: Xx+yy=x+2. 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. I need the equation

Question 600341: Xx+yy=x+2. 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.
I need the equation to be in the form of:
Parabola: y=a(x-h)(x-h)+k Or. X=a(y-k)(y-k)+h
Ellipse: (x-h)(x-h)/aa+(y-k)(y-k)/bb=1. Or (x-h)(x-h)/bb+(y-k)(y-k)/aa=1
circle: (x-h)(x-h)+(y-k)(y-k)=rr
Hyperbola: (x-h)(x-h)/aa-(y-k)(y-k)/bb=1. Or. (y-k)(y-k)\aa-(x-h)(x-h)/bb=1
Or. Xy=c, when c doesn't equal 0
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Xx+yy=x+2
x^2+y^2=x+2
x^2-x+y^2=2
complete the square
(x^2-x+1/4)+y^2=2+1/4
(x-1/2)^2+y^2=9/4
This is an equation of a circle with center at (1/2,0) and radius=√(9/4)=3/2
Its standard form: (x-h)^2+(y-k)^2=1, (h,k)=(x,y) coordinates of center, r=radus
see graph below:
y=�(-x^2+x+2)^.5

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