To calculate this equation we are gonna follow the PEMDAS order of operation.
F(-2) = - 3x^2 + 1
F(-2) = -3(-2)^2 + 1
Calculate the exponents
(-2)^2 = 4
= -3 * 4 + 1
Now multiply
= -3 * 4 = - 12
= - 12 + 1
Now add
= -12 + 1 = -11
Therefore f(-2) = -11
Then the the solution is option A