Question

Determinar as coordenadas do vértice V da parábola que representa a função f(x) = x² - 2x – 3:

Answer 1

$f(x) = x^{2} - 2x - 3$

V = $\left \{ {{x= \frac{-b}{2a} } \atop {y= \frac{-( b^{2}-4ac )}{4a} }} \right.$

V = $\left \{ {{x= \frac{-(-2)}{2.1} } \atop {y= \frac{-[ (-2)^{2}-4.1.(-3) ]}{4.1} }} \right.$

V= $\left \{ {{x= \frac{2}{2} } \atop {y= \frac{-[ 4+12 ]}{4} }} \right.$

V = $\left \{ {{x= 1 } \atop {y= \frac{-16 }{4} }} \right.$

V = $\left \{ {{x= 1 } \atop {y= -4}} \right.$