The answer is A and C, since x can be any real number, and y intercept is (0+1)^2+2=3. For B, the range is all real numbers greater or equal to 2. For D, the graph is 2 units up and 1 units to the left from y=x^2. For F, the graph has no x-intercepts, because (x+1)^2+2 can never be 0.