## What's my equation?

The graph shown below consists of a line segment connected to a piece of a parabola, with the intersection at (0, 2). The derivative at the point of intersection is continuous, and each tick mark on the axes represents one unit. Find the equation of the parabola in the form p(x) = ax^{2} + bx + c.

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Piecewise defined FUNctions

How fast does it change?

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