Two choises! Pick the right one!

The function has a maximum value of 3 that occurs at x = 1.

Step-by-step explanation:

First, note that the leading coefficient is negative. This means that the parabola will curve downwards. Because of this, the function has a maximum. The maximum value will simply be the vertex.

The formula for the x-coordinate of the vertex is -b/2a.

a=-3, b=6, c=0

Plug in the numbers:

x=-(6)/2(-3)

=-6/-6=1

Now, plug 1 back into the original function:

-3x^2+6x

-3(1)^2+6(1)

=-3(1)+6

=-3+6

=3