For me (C)
The curve has a shape of a "valley". It goes to a minimum at x = 0 (f'(x) = 2*x = 0).
A line with a zero as slope is represented by an equation like this : y = b.
o if b < 9, the line has no intersection with the curve
o if b = 9, the line has 1 intersection with the curve
o if b > 9, the line has 2 intersections with the curve
The line passes by (0,3). Thus, the equation of the line is similar to y = a*x + 3.
Thus, depending on a, the number of intersection with the curve could be either 0, 1 or 2.
Both (1) & (2)
The equation of the line is y = 3. Since the minimum of the curve is equal to 0, there is no intersection between the line and the curve.