Find a parabola y ax 2 1 bx 1 c that passes through the point s1, 4d and whose tangent

Chapter 3, Problem 74

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Find a parabola y ax 2 1 bx 1 c that passes through the point s1, 4d and whose tangent lines at x 21 and x 5 have slopes 6 and 22, respectively

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