Question

What is the vertex of the graph of the function f(f)=x2+8x-2

Answer 1

`\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+8}x\stackrel{\stackrel{c}{\downarrow }}{-2} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 8}{2(1)}~~~~ ,~~~~ -2-\cfrac{ (8)^2}{4(1)}\right) \implies\left( - \cfrac{ 8 }{ 2 }~~,~~-2 - \cfrac{ 64 }{ 4 } \right) \\\\\\ \left( - \cfrac{ 8 }{ 2 }~~,~~-2 - 16 \right)\implies (~-4~~,~~ -18~)`