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Use a quadratic function and an absolute value function to write a piecewise-defined function that will produce the graph shown below.

Continuous piecewise, left piece, upward parabola, vertex at the point (negative 2, comma negative 3), ending at the point (2, comma 7), right piece, upward V shape, starting at (2, comma 7), vertex at (4,, comma 0), continuing up & right.

Vertex form of a parabola: , where is the vertex. Absolute value: .

Solve for by evaluating both equations at .

Because the function for this graph is piecewise, there is an -coordinate / boundary point where each function ceases to defined.