# How do you graph and state the max/min for  f(x) = -2x^2 + 9?

To find the max/min use $\frac{- b}{2 a}$
$\implies \frac{0}{-} 4 = 0$
The quadratic is negative so it is $\cap$ shaped so it will have a maximum. It crosses the $y$ axis at 9 so the max is (0,9)
You should have a $\cap$ shaped parabola symmetrically drawn across the y axis with a max point at (0,9).