Answer with explanation:
The graph of the function drawn on two dimensional plane is of Quadratic function.
Properties of Discriminant(D)
1. D ≥ 0→→Two Real root.
2. D < 0→→No real root.
3. D=0→→Two real roots which are equal.
Graph does not cuts the x axis once, it means it has no real root. Roots are Imaginary.
As the graph is of the form
(x-3)²=k(y-1), where , k<1.
→→Discriminant will be negative ,so it has no real root.
Option C: Discriminant is negative ,so it has no solution.