The vertex of the parabola can be found by expressing its equation into vertex form. This processes uses completing the square.
y = x^2 + 2x + 9y = x^2 + 2x + 1 - 1 + 9y = (x + 1)^2 - 1 + 9y = (x + 1)^2 + 8
Thus, vertex is (-1, 8).
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