Question

H(x)=-1/3x^2+2x-4 graph the equation

Answer 1

You should be able to note that this is a parabola which opens downward. Taking the derivative and setting it to -0- will yield the max of the equation, That is

$y=-\frac{1}{3} x^{2} +2x-4$ ⇒ $\frac{dy}{dx} =-\frac{2}{3} x+2=0$ ⇒ $x=3$