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已知：抛物线y=ax 2 +bx+c（a≠0）的对称轴为x=﹣1，与x轴交于A，B两点，与y轴交C，其中A（﹣3，0），C（0，﹣2） （1）求这条抛物线的函数表达式； （2）已知在对称轴上存在一点P，使得△PBC的周长最小．请求出点P的坐标； （3）若点D是线段OC上的一个动点（不与点O、点C重合）．过点D作DE∥PC交x轴E．连接PD、PE．设CD的长为m，△PDE的面积为S．求S与m之间的函数关系式．试说明S是否存在最大值？若存在，请求出最大值；若不存在，请说明理由．
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