posted by elise .
identify the type of curve and sketch the graph of y2-2x+6y+5=0
Assuming y2 means y^2, then we have a parabola, opening to the right:
2x = y^2 + 6y + 5
So it has zeroes at y=-1, y=-5, axis of symmetry at y = -3, vertex at (-2,-3).