Answer with explanation:
It is given that curve passes through, the following five points,(-2,12), (-1,-2), (1,1), (2,3), (3,10), in two dimensional coordinate plane.
→You can write answer directly that these five points does not lie in a line,by plotting these points in two dimensional plane, so these five points will not lie on a straight line.
→Also, you will see that, these points does not cut the X axis thrice, so it is not cubic.
→Square root of a function gives one positive and one negative value , here out of five points, two of them are opposite of each other,which are , -2, 2, 1 and -1,but the fifth point that is 3,has no Opposite Zero, that is = -3.So, it is not square root function.
→When you look the function carefully the function cuts the Y axis twice,that is function appears , Quadratic in y,
→x=A y²+B y +C
Option D:⇒ Quadratic