Question

What is the maximum point of the function f(x) = –9x2 − 3x + 6?

Answer 1

take in derivative and equate it to zero
then the value of will be its maximum pt

Answer 2

graph of this function is a parabola that opens down, so the maximum is the second coordinate of the vertex. you find it via
\[x=-\frac{b}{2a}\] in your case
\[x=-\frac{-3}{2\times (-9)}=-\frac{1}{12}\]

Answer 3

replace x by
\[-\frac{1}{12}\] so get your maximum