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A parabola with equation y = ax 2 + bx + c passes through the point (1, 3) . It is also known that a
A parabola with equation
y = ax2 + bx + c
passes through the point
(1, 3)
. It is also known that a tangent line to the parabola has slope
3
at x = 1, and another tangent line to the parabola has slope
17
at x = 1. Determine the coefficients a, b, and c and write the equation of this parabola.
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