Question

Determinar as coordenadas do vértice V da parábola que representa a função f(x)= x^2- x- 20:​

Answer 1

Explicação passo-a-passo:

As coordenadas do vértice são dadas por:

$x_V=\dfrac{-b}{2a}$

$y_V=\dfrac{-\Delta}{4a}$

$\bullet~x_V=\dfrac{-(-1)}{2\cdot1}$

$x_V=\dfrac{1}{2}$

$\Delta=(-1)^2-4\cdot1\cdot(-20)$

$\Delta=1+80$

$\Delta=81$

$\bullet~y_V=\dfrac{-81}{4\cdot1}$

$y_V=\dfrac{-81}{4}$

Logo, $V(\frac{1}{2},\frac{-81}{4})$