Question 139750
Your equation is in the form {{{ax^2+bx+c}}} with the value of a negative. This means you have a parabola that opens downward and that means that the vertex is the maximum point. The x-cordinate (actually the p-cordinate in this case) is the value of the independent variable that produces the maximum function value. So all you need to do to answer this question is find this value for the independent variable. This is easily calculated from the coefficients in the given equation. In general, the x-cordinate of the vertex is {{{(-b)/2a}}}. For your equation, {{{a=-3}}} and {{{b=114}}}. Just substitute and do the arithmetic