Question

coordendas do vertice da parabola que representa a funcao F(x) = 2x~ - 12x+7

Answer 1

Resolução da questão, veja: 

Determinação de Xv e Yv:

$Xv = \dfrac{-b}{2a}}\\\\\\ Xv = \dfrac{12}{2~\cdot~2}}\\\\\\ Xv = \dfrac{12}{4}}\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{Xv = 3.}}}}}}}}}}\\\\\\\\ Yv = \dfrac{-\Delta}{4a}}\\\\\\ \Delta = b^2 -4~\cdot~a~\cdot~c\\\\\ \Delta = (-12)^2 - 4~\cdot~2~\cdot~7\\\\\ \Delta = 144 - 56\\\\\ \large\boxed{\boxed{\boxed{\Delta = 88.}}}}}}}}}\\\\\\\ Yv = \dfrac{-\Delta}{4a}}\\\\\\ Yv = \dfrac{-88}{4~\cdot~2}}\\\\\\\ Yv = \dfrac{-88}{8}}\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{Yv = -11.}}}}$

Espero que te ajude. :).