Find the parabola with equation y = ax^2 + bx whose tangent line at (3, 6) has equation y = 8x − 18.
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The parabola with equation y = ax^2 + bx has a tangent at (3, 6) given by y = 8x - 18
As the point (3, 6) lies on the parabola
6 = 9a + 3b ...(1)
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