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Two quadratic equations plotted on a coordinate grid, illustrating their points of intersection.

Graph showing two quadratic functions, y = -x² - 3x - 1 (purple parabola opening downward) and y = x² + 3x + 3 (blue parabola opening upward), intersecting at two points.

Graph showing two quadratic functions, y = -x² - 3x - 1 (purple parabola opening downward) and y = x² + 3x + 3 (blue parabola opening upward), intersecting at two points.

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