Answer:
A is f ", B is f, C is f '.
Step-by-step explanation:
Your answer is correct. B is the original function f. It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.
C is the first derivative. It crosses the x-axis at each place where B is a min or max. C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.
Finally, A is the second derivative. It crosses the x-axis at each place where C is a min or max.
Answer: 
Step-by-step explanation:
There are some transformations for a function
. Two of those transformations are:
1. If
, then the function is translated "k" units up.
2. If
, then the function is translated "k" units down.
In this case, you have the following Quadratic function
given in the exercise:

According to the information given, the function
is obtained by translating the Quadratic function
3 units up. Based on this, you can identify that the transformation is the following:

Where 
Therefore, you can determine that:
