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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.. Homework Help ✎

graph at right

Vertex form of a parabola: y = a(xh)² + k, where (h, k) is the vertex. Absolute value: y = a|xh| + k.

Solve for a by evaluating both equations at (2,7).

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