What do your question contain of?
We know that the graph of g(x) is the result of a shift of 2 units down from f(x).
Then, f(x) and g(x) are related by:

Taking the derivative:

This is because the derivative of a constant number is 0. Finally, evaluating at x = 2:
We cannot answer since we do not have the picture or diagram.
The discriminant explains how many solutions the quadratic function has. It is found using this formula:

Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions
In the following graph, there are no solutions as the graph does not hit the x-axis at any point.
Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.
A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!C- Discriminant is equal to 0, which means one solution. WRONG!
Your answer is B.