Maths Olympiad Prep

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Algebra Difficulty 4.8 AIME Find the answer

1. The graph of a quadratic function passes through (1,0),(5,0)(1,0),(5, 0), the axis of symmetry is parallel to the yy-axis, but does not pass through points above the line y=2xy=2x. Then the product of the maximum and minimum values of the coordinates of its vertex is \qquad .

A number or a short expression. Spacing and $ signs are ignored.

Solution

1. 4.

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