The maximum of the given quadratic function table occurs at the x-intercept.
From the given function table, we see that;
At x = 0, y = -16
At x = 1, y = -9
At x = 2, y = -4
At x = 3, y = -1
At x = 4, y = 0
At x = 5, y = -1
Now, the maximum of the function will be the greatest value of y and from the table values we see that the greatest value of y is 0.
Thus, the maximum of the function occurs at the x-intercept.
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