Question

Quais são os valores do x vértice e y vértice da equação y=10x² + 20x + 40.

Answer 1

$x_V=-\dfrac{b}{2a}=-\dfrac{20}{2\cdot10}=-\dfrac{20}{20}=-1\\\\ \boxed{x_V=-1}\\\\\\ y_V=-\dfrac{\Delta}{4a}=-\dfrac{b^2-4\cdot a\cdot c}{4\cdot10}=-\dfrac{20^2-4\cdot10\cdot40}{40}=-\dfrac{400-1600}{40}=-\dfrac{-1200}{40}\\\\ =\dfrac{1200}{40}=30\\\\ \boxed{y_V=30}$