Find the maximum value of the quadratic y = -3x^2 + 4x - 7.
to find the maximum value, you have to find the vertex of the quadratic
the formula for the vertex is: \((-\dfrac{b}{2a},f(-\dfrac{b}{2a}))\)
in this case, b=4 and a=-3
so, the vertex is \(\boxed{(\dfrac{2}{3},-\dfrac{17}{3})}\)