Question

7) Determine as coordenadas do vértice da parábola que representa a função y = 4x² -2x + 6​

Answer 1

Fórmula Para Encontrar o Vértice:

$\large \boxed{\boxed{ \large \sf \: x_{v} = \dfrac{ - b}{2.a} }} \\ \\\large \boxed{\boxed{ \large \sf \: y_{v} = \dfrac{-\Delta}{4.a} }}$

• Cálculo do Discriminante:

$\boxed{ \begin{array}{lr} \\ \large \sf \: \Delta = {b}^{2} - 4ac \\ \\ \large \sf \:\Delta = {( - 2)}^{2} - 4\cdot4\cdot6 \\ \\ \large \sf \:\Delta = 4 - 96 \\ \\ \red{\large \sf \: \Delta = 92} \\ \: \end{array}}$

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• Vértice:

$\large \boxed{\boxed{ \large \sf \: x_{v} = \dfrac{ - ( - 2)}{2.4} = \red{\dfrac{1}{4}}} } \\ \\\large \boxed{\boxed{ \large \sf \: y_{v} = \dfrac{-( + 92)}{4.4} = \red{ \dfrac{23}{4}}}}$

➡️ Resposta:

• $\huge \boxed{ \boxed{ \huge \sf \: V = \dfrac{1}{4} , \dfrac{23}{4} }}$