Question

sabendo wue uma função quadratica tem como coeficientes a= 2e b=-3c=-5 tem como cordenados do vertice da parabola

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Answer 1

⠀ ☞ O par ordenado do vértice desta parábola será (3/4, -49/8). ✅

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$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

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$\LARGE\gray{\boxed{\sf\blue{~~f(x) = 2x^2 - 3x - 5~~}}}$

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☔ Oi, Juliana. As coordenadas do vértice de uma parábola são encontradas através da relação:

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$\Large\red{\boxed{\pink{\boxed{\begin{array}{rcl} & & \\ & \orange{\sf P_v = \left(\dfrac{-b}{2a}, \dfrac{-\Delta}{4a}\right)} & \\ & & \\ \end{array}}}}}$

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$\LARGE\blue{\sf \dfrac{-b}{2a} = \dfrac{3}{2 \cdot 2} }$

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$\LARGE\blue{\sf \dfrac{-b}{2a} = \dfrac{3}{4} }$

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e

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$\LARGE\blue{\sf \dfrac{-\Delta}{4a} = \dfrac{-((-3)^2 - 4 \cdot 2 \cdot (-5))}{4 \cdot 2} }$

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$\LARGE\blue{\sf \dfrac{-\Delta}{4a} = \dfrac{-(9 + 40)}{8} }$

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$\LARGE\blue{\sf \dfrac{-\Delta}{4a} = \dfrac{-49}{8} }$

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$\huge\green{\boxed{\rm~~~\gray{P_v}~\pink{=}~\blue{ \left( \dfrac{3}{4}, \dfrac{-49}{8}\right) }~~~}}$ ✅

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$\bf\large\red{\underline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

☕ $\bf\Large\blue{Bons\ estudos.}$

($\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios}$) ☄

$\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }}\LaTeX$✍

❄☃ $\sf(\gray{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly})$ ☘☀

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$\gray{"Absque~sudore~et~labore~nullum~opus~perfectum~est." }$