SOLUTION: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. f(x) = -3x2 + 6x

Algebra ->  Functions -> SOLUTION: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. f(x) = -3x2 + 6x      Log On


   

Question 846068: Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x) = -3x2 + 6x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-3x%28x-2%29
Since the quadratic has zeros at x=0 and x=2, the vertex is at
x=1
So the extreme value would be f%281%29=-3%281-2%29=-3%28-1%29=3
In this case, it's a maximum.
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-3x%5E2%2B6x%29