Question

Determinar as coordenadas do vértice da parábola que representa a funçãoy = x² - 2x – 3. 

Answer 1

$x_{v}= \frac{-b}{2.a} \\ \\ x_{v}= \frac{-(-2)}{2} \\ \\ x_{v}= 1 \\ \\ y_{v}= \frac{-Delta}{4.a} \\ \\ y_{v}= \frac{-(b^{2}-4.a.c)}{4.a} \\ \\ y_{v}= \frac{-((-2)^{2}-4.1.(-3))}{4.1} \\ \\ y_{v}= \frac{-16}{4} \\ \\ y_{v}= -4 \\ \\ P=(1,-4)$