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已知三次函数y = f (x)过点(–1,0),且f ′(x) = (x + 1)2,将y = f (x)的图象向右平移一个单位,再将各点的纵坐标变为原来的3倍得函数y = g (x)的图象,函数y = h (x)与y = g (x)的图象关于点M(2,0)对称.
(1)求y = h (x)的解析式;
(2)若直线x = t (0<t<4)将函数y = h (x)的图象与两坐标轴围成的图形的面积二等分,求t的值.