What is the vertex, axis of symmetry, and direction of opening for the parabola given by the function y = 3x^2 - 2?
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Math question: Find all positive integer solutions to the equation x^n + y^n = z^n, where n > 2, and x, y, z are integers.
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What is the equation of an ellipse when the center is at the origin, major axis is parallel to the x-axis, minor axis is parallel to the y-axis, and its semi-major and semi-minor axes are 3 and 2 respectively?