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The height of a thrown ball is a quadratic function of the time it has been in the air. The graph of the quadratic function is the parabolic path of the ball. The vertex of the graph is (1, 20) and the path of the ball includes the point (0, 4). What is an expression that defines this function? Write the quadratic equation in vertex form and in the form y = ax^2 + bx + c.