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Use the information below about the graph of a polynomial to make a sketch of the graph. Then determine a possible function for that graph.

Assume the leading coefficient is 1 or -1. There may be more than one correct answer. To earn full credit please include all work/thinking.

The y-intercept is (0,-4). The x-intercepts are (-2,0) and (2,0). The degree is 2. End behavior: as x \rightarrow- \infty , f(x) \rightarrow \infty , as x \rightarrow \infty , f(x) \rightarrow \infty .