Given:
Quadratic function is

It passes through B(-2,4).
To find:
The value of c.
Solution:
The quadratic function passes through B(-2,4), it means the equation of quadratic equation must be true for the point B(-2,4).
We have,

Putting x=-2 and f(x)=4, we get



Subtract both sides by -16.


The value of c is -12.
Therefore, the correct option is A.