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identify the type of curve and sketch the graph of y2-2x+6y+5=0

  • calculus -

    Assuming y2 means y^2, then we have a parabola, opening to the right:

    2x = y^2 + 6y + 5
    = (y+1)(y+5)

    So it has zeroes at y=-1, y=-5, axis of symmetry at y = -3, vertex at (-2,-3).

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