Question

Qual o vertice da parabola y=x+7x+12

Answer 1

Olá Dan,

o vértice parábola é dado por..

$V=\left( -\dfrac{b}{2a}, -\dfrac{\Delta}{4a}\right)$

onde:

$\begin{cases}a=1\\ b=7\\ c=12\end{cases}$

sabendo-se que Δ=b²-4ac, podemos fazer..

$V=\left(- \dfrac{7}{2\cdot1},- \dfrac{7^2-4\cdot1\cdot12}{4\cdot1}\right)\\\\ V= \left(-\dfrac{7}{2}, \dfrac{49-48}{4}\right)\\\\ \Large\boxed{\boxed{V=\left( -\dfrac{7}{2}, \dfrac{1}{4}\right)}}$

Ou, $x_v=- \dfrac{7}{2}~~e~~y_v= \dfrac{1}{4}$

Tenha ótimos estudos ;D