### Question Description

**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) = -3x^{2} + 6x

## Final Answer

x value of the vertex is given by -b/2a

= -6/2(-3) = -6/-6 = 1

y = f(1) = -3(1)^2 + 6(1) = 3

The function is an inverted parabola, so

it has a** MAXIMUM at (1, 3)**

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