Problem

Parabola properties Consider the general quadratic function f(x) = ax2 + bx + c, with a ≠...

Parabola properties Consider the general quadratic function f(x) = ax2 + bx + c, with a ≠ 0.

a. Find the coordinates of the vertex in terms of a, b, and c.

b. Find the conditions on a, b, and c that guarantee that the graph of f crosses the x-axis twice.

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