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What conic section does the equation y2 – x + 2y – 2 = 0 represent?

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hello :
y² – x + 2y – 2 = 0
(y²+2y +1)-1-x-2 =0
(y+1)² = x+3
let :
y+1 = Y
x+3 =X
Y² =X.... the conic is a parabola
the vertex is: (-3,-1) and axis symetry is the line : y= -1

What conic section does the equation y2 – x + 2y – 2 = 0 represent?-example-1
User Tavis Rudd
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