y=-x^2-2x+3=-(x+1)^2+4对称轴是x=-1,开口向下。又-5<=x<=0,则当x=-1时有最大值=4,当X=-5时有最小值=-12即值域是[-12,4]
f(x)=-x²-2x+3=-(x+1)²+4,作出图像得到值域是[-12,3]