[tex]\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
y = & 1x^2& +10x& +16\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad
\left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left( -\cfrac{10^2}{2(1)}~~,~~16-\cfrac{10^2}{4(1)} \right)\implies (-50~~,~~16-25)\implies (-50~~,~~-9)[/tex]
