Question

Obtenha as coordenadas do vértice da parábola representada pela função y=x² - 12 x + 30

Answer 1

y= x² - 12x + 30

a=1
b=-12
c=30

Δ=b²-4ac
Δ=(-12)²-4(1)(30)
Δ=144-120
Δ=24

$V(X_V,Y_V)=V(6,-6) \\ \\ X_V= \frac{-b}{2a} = \frac{-(-12)}{2} = \frac{12}{2} =6 \\ \\ Y_V= \frac{-\Delta}{4a} = \frac{-24}{4} =-6$