The answer would be (C), or the third option. Ok, so we understand that the leading coefficient is positive and the degree of this polynomial is even; thus, the function would face in an upward direction, with both ends pointing up.
Since this is a relatively simple, we call this a parabola or parabolic function.
Therefore, we would choose the answers in which the y-values are in a positive interval. III & IV are the only options that meet this criteria. Please let me know if you have further questions! :-)