Question

What are the coordinates of the vertex of the parabola represented by the equation

y = − 5x2 + 30x − 25 ?

Answer 1

`\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{lcccll} y = &{{ -5}}x^2&{{ +30}}x&{{ -25}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)`