Question

Determine o vortice da funcao(x)=x2-4x-5

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:

$\boxed{ \begin{array}{lr} \\ \large \sf \: \Delta = {b}^{2} - 4ac \\ \\ \large \sf \Delta = {( - 4)}^{2} - 4 \cdot1 \cdot - 5 \\ \\ \large \sf\Delta = 16 + 20 \\ \\ \boxed{ \red{\large \sf \Delta = 36}} \\ \: \end{array}}$

• Vértice:

$\large \boxed{ \boxed{\large \sf \:x_{v} = \dfrac{ - ( - 4)}{2}= \boxed{ \red{ \sf2}}}} \\ \\ \\ \large \boxed{ \boxed{\large \sf \: y_{v} = \dfrac{ - ( + 36)}{} = \boxed{ \red{ \sf-9}}}}$

➡️ Resposta:

• $\huge \boxed{ \boxed{ \huge \: (2, - 9)}}$