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A video game producer is using the quadratic function f(x) = 4 – x2 to model the path of an arrow shot by a game player. The path of the arrow is shown in the graph below. The point (2, 3) represents the top of the castle wall. A graph of a parabola is shown. The x-intercepts are at (-2, 0) and (2, 0). The vertex is at (0, 4).If the player moves so that the arrow will clear the wall at the maximum height, what is the new function that the game producer would need to use? Use complete sentences and explain your work.

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\[y=3-(x-2)^2\]

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