-155
The function f(x) = -4x^2 - 11 is a quadratic function in the variable x. To evaluate the function at a specific value of x, we need to plug that value into the function in place of x.
In this case, we want to evaluate the function at x = -6. This means we need to plug -6 into the function in place of x, like this:
f(-6) = -4(-6)^2 - 11
To evaluate this expression, we need to perform the operations in order from left to right. First, we square -6 to get 36. Then we multiply -4 by 36 to get -144. Finally, we subtract 11 from -144 to get -155.
Therefore, the value of the function f(x) = -4x^2 - 11 when x = -6 is f(-6) = -155.