Find numbers a, b, and c such that the graph of the function f(x) ax 2 bx c will have x intercepts at (0, 0) and (5, 0), and a tangent with slope 1 when x 2

Question: Find numbers a, b, and c such that the graph of the function f(x) = ax 2 + bx + c will have x intercepts

Find numbers a, b, and c such that the graph of the function f(x) = ax² + bx + c will have x intercepts at (0, 0) and (5, 0), and a tangent with slope 1 when x = 2.

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