Evaluate the function at the given value of the variable. \[ f(x)=3 x^{2}+4 \] a. $f(2)$ b. $f(-4)$ a. $f(2)=$

Step 1 ：To find the value of the function at a specific point, we need to substitute the given value into the function. In this case, we need to substitute \(x=2\) into the function \(f(x)=3x^2+4\).

Step 2 ：Substitute \(x=2\) into the function: \(f(2)=3(2)^2+4\)

Step 3 ：Simplify the expression to get the final answer: \(f(2)=16\)

Step 4 ：The value of the function \(f(x)=3x^2+4\) at \(x=2\) is \(\boxed{16}\)