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Question
sketch the graph of the quadratic function $h(x) = 3x^2 - 12x + 9$ on the coordinate plane, ensuring to clearly label the vertex, axis of symmetry, x-intercepts, y-intercept, and at least two other distinct points that demonstrate the parabolas shape, and indicate whether it opens upward or downward.
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Vertex: \((2, -3)\); Axis of symmetry: \(x = 2\); x - intercepts: \((1,0)\) and \((3,0)\); y - intercept: \((0,9)\); Opens upward.