Answer
maximum $f(2) =16$
Work Step by Step
Given $f(x)=-3x^2+12x+4$, we have $a=-3\lt0, b=12$, thus there is a maximum at $x=-\frac{b}{2a}=-\frac{12}{2(-3)}=2$ with a value $f(2)=-3(2)^2+12(2)+4=16$
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