设椭圆方程为x^2/a^2+y^2/b^2=1(a>b>0).∵焦点为F1(-3,0),F2(3,0)∴c=3∴a^2=b^2+c^2=b^2+9∴x^2/(b^2+9)+y^2/b^2=1∵过点(0,4)∴16/b^2=1∴b^2=16∴a^2=b^2+9=25∴椭圆方程为x^2/25+y^2/16=1....